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:

  1. Find the smallest such integer.
  2. Can such an integer be found for multiples 2 thru 9?
  3. 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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