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2023 Fall LMT Speed p13 - same number in base 17 and 10

Source:

March 2, 2024
number theory

Problem Statement

Given that the base-1717 integer 8323a0242117‾\overline{8323a02421_{17}} (where a is a base-1717 digit) is divisible by 1610‾\overline{16_{10}}, find aa. Express your answer in base 1010.
Proposed by Jonathan Liu
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