olymmath

TUYMAADA 2016 J6

    Is there a positive integer N>1020N>10^{20} such that all its decimal digits are odd, the numbers of digits 1, 3, 5, 7, 9 in its decimal representation are equal, and it is divisible by each 20-digit number obtained from it by deleting digits? (Neither deleted nor remaining digits must be consecutive.)

    Dataset text AI-MO AoPS. Quoted with source.

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