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uban n.  and  zygodrome

First numbers that belong to both sets:

11, 22, 33, 55, 66, 77, 88, 99, 11000000, 11000011, 11000022, 11000033, 11000055, 11000066, 11000077, 11000088, 11000099, 22000000, 22000011, 22000022, 22000033, 22000055, 22000066, 22000077, 22000088, 22000099, 33000000, 33000011, 33000022, 33000033, 33000055, 33000066, 33000077, 33000088, 33000099, 55000000, 55000011, 55000022, 55000033, 55000055, 55000066, 55000077, 55000088, 55000099, 66000000, 66000011, 66000022, 66000033, 66000055, 66000066, 66000077, 66000088, 66000099, 77000000, 77000011, 77000022, 77000033, 77000055, 77000066, 77000077, 77000088, 77000099, 88000000, 88000011, 88000022, 88000033, 88000055, 88000066, 88000077, 88000088, 88000099, 99000000, 99000011, 99000022, 99000033, 99000055, 99000066, 99000077, 99000088, 99000099, 11000000000, 11000000011, 11000000022, 11000000033, 11000000055, 11000000066, 11000000077, 11000000088, 11000000099, 22000000000, 22000000011, 22000000022, 22000000033, 22000000055, 22000000066, 22000000077, 22000000088, 22000000099, 33000000000, 33000000011, 33000000022, 33000000033, 33000000055, 33000000066, 33000000077, 33000000088, 33000000099, 55000000000, 55000000011, 55000000022, 55000000033, 55000000055, 55000000066, 55000000077, 55000000088, 55000000099, 66000000000, 66000000011, 66000000022, 66000000033, 66000000055, 66000000066, 66000000077, 66000000088, 66000000099, 77000000000, 77000000011, 77000000022, 77000000033, 77000000055, 77000000066, 77000000077, 77000000088, 77000000099, 88000000000, 88000000011, 88000000022, 88000000033, 88000000055, 88000000066, 88000000077, 88000000088, 88000000099, 99000000000, 99000000011, 99000000022, 99000000033, 99000000055, 99000000066, 99000000077, 99000000088, 99000000099, 11000000000000, 11000000000011, 11000000000022, 11000000000033, 11000000000055, 11000000000066, 11000000000077, 11000000000088, 11000000000099, 11000011000000, 11000011000011, 11000011000022, 11000011000033, 11000011000055, 11000011000066, 11000011000077, 11000011000088, 11000011000099, 11000022000000, 11000022000011, 11000022000022, 11000022000033, 11000022000055, 11000022000066, 11000022000077, 11000022000088, 11000022000099, 11000033000000, 11000033000011, 11000033000022, 11000033000033, 11000033000055, 11000033000066, 11000033000077, 11000033000088, 11000033000099, 11000055000000, 11000055000011, 11000055000022, 11000055000033, 11000055000055, 11000055000066, 11000055000077, 11000055000088, 11000055000099, 11000066000000, 11000066000011, 11000066000022, 11000066000033, 11000066000055, 11000066000066, 11000066000077, 11000066000088, 11000066000099, 11000077000000, 11000077000011, 11000077000022, 11000077000033, 11000077000055, 11000077000066, 11000077000077, 11000077000088, 11000077000099, 11000088000000, 11000088000011, 11000088000022, 11000088000033, 11000088000055, 11000088000066, 11000088000077, 11000088000088, 11000088000099, 11000099000000, 11000099000011, 11000099000022, 11000099000033, 11000099000055, 11000099000066, 11000099000077, 11000099000088, 11000099000099, 22000000000000, 22000000000011, 22000000000022, 22000000000033, 22000000000055, 22000000000066, 22000000000077, 22000000000088, 22000000000099, 22000011000000, 22000011000011, 22000011000022, 22000011000033, 22000011000055, 22000011000066, 22000011000077, 22000011000088, 22000011000099, 22000022000000, 22000022000011, 22000022000022, 22000022000033, 22000022000055, 22000022000066, 22000022000077, 22000022000088, 22000022000099, 22000033000000, 22000033000011, 22000033000022, 22000033000033, 22000033000055, 22000033000066, 22000033000077, 22000033000088, 22000033000099, 22000055000000, 22000055000011, 22000055000022, 22000055000033, 22000055000055, 22000055000066, 22000055000077, 22000055000088, 22000055000099, 22000066000000, 22000066000011.

Some larger examples :