Repeated Concatenation

Number Theory Level 3

Concatenating four copies of 23 produces 23∣∣23∣∣23∣∣23=23232323.23 || 23 || 23 || 23 = 23232323.

Now, suppose you concatenate xx copies of any positive integer n.n.

What is the minimum value of xx such that the result of this concatenation is guaranteed to be a multiple of 11?

Stephen Mellor by Stephen Mellor
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