A number theory problem by Prayas Rautray

111111 1 \large 111111\ldots1

The above is a 50-digit integer with all its digits 1. If I replace the 26 th ^\text{th} digit (from the left) with another digit X X , then this new number is divisible by 13. What is X ? X?

2 3 4 5 6

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