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IL-GILLIS 2021 Problem 4

    Danny likes seven-digit numbers with the following property: the 1's digit is divisible by the 10's digit, the 10's digit is divisible by the 100's digit, and so on. For example, Danny likes the number 11333661133366 but doesn't like 99999939999993 .

    Is the amount of numbers Danny likes divisible by 77 ?

    Dataset text AI-MO AoPS. Quoted with source.

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