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Mirror Multiples

Find a positive integer which has its own mirror image as a multiple
(greater than 1.) That is, the same digits appear in reverse order, as with
"321" and "123".
Extensions:

- Find the smallest such integer.
- Can such an integer be found for multiples 2 thru 9?
- Does such an integer exist for any number of digits in the integer?
Find examples for different numbers of digits.

Source: Original.

Solution

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