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:

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

The above study include the natural numbers till 30000. In some case **factorials **and or **square-roots** are used.

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

- 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**. - 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**. - 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**. - 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**.