{"id":11234,"date":"2023-12-25T22:47:29","date_gmt":"2023-12-26T01:47:29","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=11234"},"modified":"2023-12-27T02:38:53","modified_gmt":"2023-12-27T05:38:53","slug":"last-day-of-the-year-23-written-american-style-12-31-23-123123","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=11234","title":{"rendered":"Last Day of the Year 23 Written American Style: 12.31.23 (123123)"},"content":{"rendered":"\n<p class=\"has-text-align-justify has-electric-grass-gradient-background has-background\">The last day of the year, i.e., December 12, 23 we can write as 31.12.2023 or 31.12.23. If it is written in American style, i.e., 12.31.23, it gives interesting numbers, i.e., 123123. This work brings some interesting mathematical aspects of the number 123123. See the link of the work:<br><br>Inder J. Taneja, Mathematical Representations of the Last Day of the Year 23 Written American Style: 12.31.23 (123123), <strong>Zenodo<\/strong>, December 19, 2023, pp. 1-13, <a href=\"https:\/\/doi.org\/10.5281\/zenodo.10405771\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.10405771<\/a>.<br><br>Whole work can be downloaded from the above link. Below are itens aborded in this work. These itens  are for the representations of the number 123123 are given in frames.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<ol style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(255,255,255) 69%,rgb(255,105,0) 100%)\" class=\"has-background wp-block-list\">\n<li>Crazy Representations<\/li>\n\n\n\n<li>Single Digit Representations and Patterns<\/li>\n\n\n\n<li>Single Letter Representations and Patterns<\/li>\n\n\n\n<li>Fixed Digits Repetitions Prime Patterns<\/li>\n\n\n\n<li>Prime Factors and Permutable Bases and Powers<\/li>\n\n\n\n<li>Embedded Palindromic Prime Patterns<\/li>\n\n\n\n<li>Pythagorean Triples and Patterns<\/li>\n\n\n\n<li>Upside-Down, Mirror Looking and Colors Patterns<\/li>\n\n\n\n<li>Magic Squares<\/li>\n<\/ol>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(92,230,215) 34%,rgb(255,255,255) 78%,rgb(255,105,0) 100%)\">1. Crazy Representations<\/h3>\n\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1301\" height=\"677\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-01-1.png\" alt=\"\" class=\"wp-image-11249\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-01-1.png 1301w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-01-1-300x156.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-01-1-1024x533.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-01-1-768x400.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-01-1-535x278.png 535w\" sizes=\"(max-width: 1301px) 100vw, 1301px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(92,230,215) 34%,rgb(255,255,255) 78%,rgb(255,105,0) 100%)\">2. Single Digit Representations and Patterns<\/h3>\n\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" width=\"1306\" height=\"1300\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-02-1.png\" alt=\"\" class=\"wp-image-11250\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-02-1.png 1306w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-02-1-300x300.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-02-1-1024x1019.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-02-1-150x150.png 150w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-02-1-768x764.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-02-1-535x533.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-02-1-256x256.png 256w\" sizes=\"(max-width: 1306px) 100vw, 1306px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(92,230,215) 34%,rgb(255,255,255) 78%,rgb(255,105,0) 100%)\">3. Single Letter Representations and Patterns<\/h3>\n\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" width=\"1295\" height=\"1121\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-03.png\" alt=\"\" class=\"wp-image-11237\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-03.png 1295w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-03-300x260.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-03-1024x886.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-03-768x665.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-03-535x463.png 535w\" sizes=\"(max-width: 1295px) 100vw, 1295px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(92,230,215) 34%,rgb(255,255,255) 78%,rgb(255,105,0) 100%)\">4. Fixed Digits Repetitions Prime Patterns<\/h3>\n\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1302\" height=\"1285\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-04.png\" alt=\"\" class=\"wp-image-11238\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-04.png 1302w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-04-300x296.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-04-1024x1011.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-04-768x758.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-04-535x528.png 535w\" sizes=\"(max-width: 1302px) 100vw, 1302px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(92,230,215) 34%,rgb(255,255,255) 78%,rgb(255,105,0) 100%)\">5. Prime Factors and Permutable Bases and Powers<\/h3>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1301\" height=\"542\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-05.png\" alt=\"\" class=\"wp-image-11239\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-05.png 1301w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-05-300x125.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-05-1024x427.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-05-768x320.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-05-535x223.png 535w\" sizes=\"(max-width: 1301px) 100vw, 1301px\" \/><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(92,230,215) 34%,rgb(255,255,255) 78%,rgb(255,105,0) 100%)\">6. Embedded Palindromic Prime Patterns<\/h3>\n\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1295\" height=\"840\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-06.png\" alt=\"\" class=\"wp-image-11240\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-06.png 1295w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-06-300x195.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-06-1024x664.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-06-768x498.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-06-535x347.png 535w\" sizes=\"(max-width: 1295px) 100vw, 1295px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1297\" height=\"972\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-07.png\" alt=\"\" class=\"wp-image-11241\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-07.png 1297w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-07-300x225.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-07-1024x767.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-07-768x576.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-07-535x401.png 535w\" sizes=\"(max-width: 1297px) 100vw, 1297px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1300\" height=\"1013\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-08-1.png\" alt=\"\" class=\"wp-image-11251\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-08-1.png 1300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-08-1-300x234.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-08-1-1024x798.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-08-1-768x598.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-08-1-535x417.png 535w\" sizes=\"(max-width: 1300px) 100vw, 1300px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(92,230,215) 34%,rgb(255,255,255) 78%,rgb(255,105,0) 100%)\">7. Pythagorean Triples and Patterns<\/h3>\n\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1294\" height=\"1119\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-09.png\" alt=\"\" class=\"wp-image-11243\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-09.png 1294w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-09-300x259.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-09-1024x886.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-09-768x664.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-09-535x463.png 535w\" sizes=\"(max-width: 1294px) 100vw, 1294px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(92,230,215) 34%,rgb(255,255,255) 78%,rgb(255,105,0) 100%)\">8. Upside-Down, Mirror Looking and Colors Patterns<\/h3>\n\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1303\" height=\"1699\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-10.png\" alt=\"\" class=\"wp-image-11244\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-10.png 1303w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-10-230x300.png 230w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-10-785x1024.png 785w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-10-768x1001.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-10-535x698.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-10-1178x1536.png 1178w\" sizes=\"(max-width: 1303px) 100vw, 1303px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(92,230,215) 34%,rgb(255,255,255) 78%,rgb(255,105,0) 100%)\">9. Magic Squares <\/h3>\n\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1297\" height=\"1010\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-11.png\" alt=\"\" class=\"wp-image-11245\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-11.png 1297w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-11-300x234.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-11-1024x797.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-11-768x598.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-11-535x417.png 535w\" sizes=\"(max-width: 1297px) 100vw, 1297px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1298\" height=\"1036\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-12.png\" alt=\"\" class=\"wp-image-11246\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-12.png 1298w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-12-300x239.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-12-1024x817.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-12-768x613.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-12-535x427.png 535w\" sizes=\"(max-width: 1298px) 100vw, 1298px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"alignright size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1301\" height=\"1100\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-13.png\" alt=\"\" class=\"wp-image-11247\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-13.png 1301w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-13-300x254.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-13-1024x866.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-13-768x649.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-13-535x452.png 535w\" sizes=\"(max-width: 1301px) 100vw, 1301px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1293\" height=\"700\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-14.png\" alt=\"\" class=\"wp-image-11252\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-14.png 1293w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-14-300x162.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-14-1024x554.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-14-768x416.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-14-535x290.png 535w\" sizes=\"(max-width: 1293px) 100vw, 1293px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background\" style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(92,230,215) 34%,rgb(255,255,255) 78%,rgb(255,105,0) 100%)\">References <\/h3>\n\n\n\n<p><\/p>\n\n\n\n<ol style=\"background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(255,255,255) 69%,rgb(255,105,0) 100%)\" class=\"has-background wp-block-list\">\n<li><strong>Inder J. Taneja<\/strong>, 2019 In Numbers,&nbsp;<strong>Zenodo<\/strong>, December 31, 2019, pp. 1-27, <a href=\"http:\/\/doi.org\/10.5281\/zenodo.2529103\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.2529103<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, 2020 In Numbers: Mathematical Style,&nbsp;<strong>Zenodo<\/strong>, December 31, 2019, pp. 1-37,&nbsp; <a href=\"http:\/\/doi.org\/10.5281\/zenodo.3596193\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.3596193<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, 21 Mathematical Highlights for 2021,&nbsp;<strong>Zenodo<\/strong>, December 26, 2020, pp. 1-75,&nbsp; <a href=\"http:\/\/doi.org\/10.5281\/zenodo.4394408\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.4394408<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Geometrical, Numerical, and Symmetrical Representations for the Days of 2020,&nbsp;<strong>Zenodo<\/strong>, October 04, 2020, pp. 1-201,&nbsp;<a href=\"http:\/\/doi.org\/10.5281\/zenodo.4065069\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.4065069<\/a>.<br>Also see the link: Inder J. Taneja, Geometrical, Numerical, and Symmetrical Representations for the Days of 2020,&nbsp;<a href=\"https:\/\/inderjtaneja.wordpress.com\/2020\/10\/07\/geometrical-numerical-and-symmetrical-representations-for-the-days-of-2020\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/inderjtaneja.wordpress.com\/2020\/10\/07\/geometrical-numerical-and-symmetrical-representations-for-the-days-of-2020<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Hardy-Ramanujan Number \u2013 1729,&nbsp;<strong>Zenodo<\/strong>, December 22, 2021, pp. 1-106,&nbsp; <a href=\"https:\/\/doi.org\/10.5281\/zenodo.5799640\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.5799640<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Mathematical Beauty of 2022,&nbsp;<strong>Zenodo<\/strong>, December 26, 2021, pp. 1-78,&nbsp; <a href=\"https:\/\/doi.org\/10.5281\/zenodo.5805264\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.5805264<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, 23 and 2023 in Numbers and Patterns,&nbsp;<strong>Zenodo<\/strong>, December 22, 2022, pp. 1-51,&nbsp; <a href=\"https:\/\/doi.org\/10.5281\/zenodo.7473340\">https:\/\/doi.org\/10.5281\/zenodo.7473340<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Fractional and Decimal Type Bordered Magic Squares with Magic Sum 2020,&nbsp;<strong>Zenodo<\/strong>, January 20, 2020, pp.1-25.&nbsp;<a href=\"http:\/\/doi.org\/10.5281\/zenodo.3613698\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.3613698<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Block-Wise and Block-Bordered Magic and Bimagic Squares with Magic Sums 21, 21^2 and 2021,&nbsp;<strong>Zenodo<\/strong>, December 16, 2020, pp. 1-118,&nbsp;<a href=\"http:\/\/doi.org\/10.5281\/zenodo.4380343\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.4380343<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Fractional and Decimal Type Bordered Magic Squares with Magic Sum 2021,&nbsp;<strong>Zenodo<\/strong>, December 16, 2020, pp. 1-33,&nbsp;<a href=\"http:\/\/doi.org\/10.5281\/zenodo.4327333\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/doi.org\/10.5281\/zenodo.4327333<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Block-Wise and Block-Bordered Magic Squares with Magic Sum 2022,&nbsp;<strong>Zenodo<\/strong>, December 28, 2021, pp. 1-38,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.5807789\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.5807789<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Mathematical Representations of the Last Day of the Year 23 Written American Style: 12.31.23 (123123),&nbsp;<strong>Zenodo<\/strong>, December 19, 2023, pp. 1-13,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.10405771\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.10405771<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Mathematical Aspects of 24 and 2024,&nbsp;<strong>Zenodo<\/strong>, December 19, 2023, pp. 1-40,&nbsp; <a href=\"https:\/\/doi.org\/10.5281\/zenodo.10406530\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.10406530<\/a>.<\/li>\n<\/ol>\n\n\n\n<ol class=\"wp-block-list\"><\/ol>\n","protected":false},"excerpt":{"rendered":"<p>The last day of the year, i.e., December 12, 23 we can write as 31.12.2023 or 31.12.23. If it is written in American style, i.e., 12.31.23, it gives interesting numbers, i.e., 123123. This work brings some interesting mathematical aspects of the number 123123. See the link of the work: Inder J. Taneja, Mathematical Representations of [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":11244,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[7],"tags":[],"class_list":["post-11234","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-curiosities"],"jetpack_featured_media_url":"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/12.31.23-10.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/11234","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=11234"}],"version-history":[{"count":5,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/11234\/revisions"}],"predecessor-version":[{"id":11355,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/11234\/revisions\/11355"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/11244"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11234"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11234"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11234"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}