Crazy Representations of Natural Numbers Using Factorial: From 100001-200000

In 2013-2014, author (click here) wrote natural numbers in increasing and decreasing orders of 1 to 9 using only basic operations. See below some examples:

For more details and extension work by other see the following link:

• Inder J. Taneja, The Crazy Representations and 10958 Problem,
  • https://inderjtaneja.wordpress.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/
  • Crazy Representations of Natural Numbers – The 10958 Problem

Recently, author wrote the above numbers till 100000 in increasing and decreasing orders of 1 to 9 and 9 to 1 using only the idea of factorials along with basic operations. Below are few examples:

These numbers are written in four parts. See the links below:

1. Inder J. Taneja, Crazy Representations of Natural Numbers From 20001 to 40000, Zenodo, November 03, 2021, pp. 1-541,  https://doi.org/10.5281/zenodo.5642776.
2. Inder J. Taneja, Crazy Representations of Natural Numbers From 40001 to 60000, Zenodo, November 03, 2021, pp. 1-541,  https://doi.org/10.5281/zenodo.5642826.
3. Inder J. Taneja, Crazy Representations of Natural Numbers From 60001 to 80000, Zenodo, November 03, 2021, pp. 1-537,  https://doi.org/10.5281/zenodo.5642896.
4. Inder J. Taneja, Crazy Representations of Natural Numbers From 80001 to 100000, Zenodo, November 03, 2021, pp. 1-533,  https://doi.org/10.5281/zenodo.5642929.

Recently, author wrote the above numbers from 100001 to 200000 in increasing and decreasing orders of 1 to 9 and 9 to 1 using only the idea of factorials along with basic operations. Below are few examples:

These numbers are written in five parts. These are revised version work of 2021. See the links below:

1. Inder J. Taneja, Crazy Representations of Natural Numbers From 100001 to 120000 – Revised, Zenodo, August 02, 2024, pp. 1-527, https://doi.org/10.5281/zenodo.13152357
2. Inder J. Taneja, Crazy Representations of Natural Numbers From 120001 to 140000 – Revised, Zenodo, August 02, 2024, 2021, pp. 1-524, https://doi.org/10.5281/zenodo.13153617
3. Inder J. Taneja, Crazy Representations of Natural Numbers From 140001 to 160000 – Revised, Zenodo, August 02, 2024, pp. 1-526, https://doi.org/10.5281/zenodo.13153790
4. Inder J. Taneja, Crazy Representations of Natural Numbers From 160001 to 180000 – Revised, Zenodo, August 02, 2024, pp. 1-521, https://doi.org/10.5281/zenodo.13153929
5. Inder J. Taneja, Crazy Representations of Natural Numbers From 180001 to 200000 – Revised, Zenodo, August 02, 2024, pp. 1-526, https://doi.org/10.5281/zenodo.13154022

In this revised version, there are only two numbers where we need to work with factorial and square-root. The whole work is by use of basic operations along with factorials. Below are these two numbers:

In case of decreasing orders we have all the numbers from 100001 to 200000 using only basic opertions and factorial.