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Permalink Submitted by Anonymous (not verified) on 18 December, 2012
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Without taking the hint into account, there are two more numbers satifying condition 1:

  1 : sum of digits is 1 and 1 * 1 = 1
81 : sum of digits is 9 and 9 * 9 = 81

Neigther of them satifies the second condition.

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