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".


  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.

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