# Same as Upside Down

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

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

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

×