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.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:

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

- 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**.

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. See the links below:

- Inder J. Taneja, Crazy Representations of Natural Numbers From 100001 to 120000,
**Zenodo**, November 03, 2021, pp. 1-541,**https://doi.org/10.5281/zenodo.5773381**. - Inder J. Taneja, Crazy Representations of Natural Numbers From 120001 to 140000,
**Zenodo**, November 03, 2021, pp. 1-541,**https://doi.org/10.5281/zenodo.5773384**. - Inder J. Taneja, Crazy Representations of Natural Numbers From 140001 to 160000,
**Zenodo**, November 03, 2021, pp. 1-537,**https://doi.org/10.5281/zenodo.5773386**. - Inder J. Taneja, Crazy Representations of Natural Numbers From 160001 to 180000,
**Zenodo**, November 03, 2021, pp. 1-533,**https://doi.org/10.5281/zenodo.5773388**. - Inder J. Taneja, Crazy Representations of Natural Numbers From 180001 to 200000,
**Zenodo**, November 03, 2021, pp. 1-533,**https://doi.org/10.5281/zenodo.5773390**.

The whole work is by use of basic operations along with **factorials**. There are few numbers not available by using **factorials**. In order to get the results we used an extra operation of **square-root**. These are following numbers:

These numbers are in increasing orders. Still there is one more numbers, i.e., **192398** not available even with **factorial** and **square-root**. We can get it alongwith other values by using **Triangular** number values and **factorial**. See below:

In case of decreasing orders we have all the numbers from 100001 to 200000.

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