Divisibility

While checking the divisibilty test for number 7 I came across a new thing and i.e

Any six-digit, or twelve-digit, or eighteen-digit, or any such number with number of digits equal to multiple of 6, is divisible by EACH of 7, 11 and 13 if all of its digits are same .

For example 666666, 888888888888 etc. are all divisible by 7, 11, and 13.

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