Such gigantic number! 2

Logic Level 3

Find the \(2016^\text{th}\) digit in the infinitely large number \(122333444455555\ldots,\) where we concatenate positive integers.

Note that when we get to 10, we have ten 10's like 10101010101010101010.
Likewise, when we get to 11, we have eleven 11's like 1111111111111111111111.

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