# Square of Reversal of Small-Digit Number

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## Theorem

Let $n$ be an integer whose decimal representation consists of sufficiently small digits.

Then the reversal of the square of $n$ is the square of the reversal of $n$.

## Proof

## Examples

### Square of Reversal of $12$

- $12^2 = 144$
- $21^2 = 441$

### Square of Reversal of $13$

- $13^2 = 169$
- $31^2 = 961$

## Sources

- 1986: David Wells:
*Curious and Interesting Numbers*... (previous) ... (next): $12$ - 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): $12$