Same as Upside Down

1 , 8 , 11 , 88 , 101 , 111 , 181 , 808 , 818 , 888 , 1, 8, 11, 88, 101, 111, 181, 808, 818, 888, \ldots

The digits 0, 1 and 8 look the same when written upside down.
The 10th positive integer that looks the same when rotated 18 0 180^\circ and using only these digits is 888.

What is the 100th positive integer that looks the same when rotated 18 0 180^\circ and uses only these digits?


The answer is 8808088.

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