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aban n.  and  zygodrome

First numbers that belong to both sets:

11, 22, 33, 44, 55, 66, 77, 88, 99, 111, 222, 333, 444, 555, 666, 777, 888, 999, 11000000, 11000011, 11000022, 11000033, 11000044, 11000055, 11000066, 11000077, 11000088, 11000099, 11000111, 11000222, 11000333, 11000444, 11000555, 11000666, 11000777, 11000888, 11000999, 22000000, 22000011, 22000022, 22000033, 22000044, 22000055, 22000066, 22000077, 22000088, 22000099, 22000111, 22000222, 22000333, 22000444, 22000555, 22000666, 22000777, 22000888, 22000999, 33000000, 33000011, 33000022, 33000033, 33000044, 33000055, 33000066, 33000077, 33000088, 33000099, 33000111, 33000222, 33000333, 33000444, 33000555, 33000666, 33000777, 33000888, 33000999, 44000000, 44000011, 44000022, 44000033, 44000044, 44000055, 44000066, 44000077, 44000088, 44000099, 44000111, 44000222, 44000333, 44000444, 44000555, 44000666, 44000777, 44000888, 44000999, 55000000, 55000011, 55000022, 55000033, 55000044, 55000055, 55000066, 55000077, 55000088, 55000099, 55000111, 55000222, 55000333, 55000444, 55000555, 55000666, 55000777, 55000888, 55000999, 66000000, 66000011, 66000022, 66000033, 66000044, 66000055, 66000066, 66000077, 66000088, 66000099, 66000111, 66000222, 66000333, 66000444, 66000555, 66000666, 66000777, 66000888, 66000999, 77000000, 77000011, 77000022, 77000033, 77000044, 77000055, 77000066, 77000077, 77000088, 77000099, 77000111, 77000222, 77000333, 77000444, 77000555, 77000666, 77000777, 77000888, 77000999, 88000000, 88000011, 88000022, 88000033, 88000044, 88000055, 88000066, 88000077, 88000088, 88000099, 88000111, 88000222, 88000333, 88000444, 88000555, 88000666, 88000777, 88000888, 88000999, 99000000, 99000011, 99000022, 99000033, 99000044, 99000055, 99000066, 99000077, 99000088, 99000099, 99000111, 99000222, 99000333, 99000444, 99000555, 99000666, 99000777, 99000888, 99000999, 110000000, 110000011, 110000022, 110000033, 110000044, 110000055, 110000066, 110000077, 110000088, 110000099, 110000111, 110000222, 110000333, 110000444, 110000555, 110000666, 110000777, 110000888, 110000999, 111000000, 111000011, 111000022, 111000033, 111000044, 111000055, 111000066, 111000077, 111000088, 111000099, 111000111, 111000222, 111000333, 111000444, 111000555, 111000666, 111000777, 111000888, 111000999, 220000000, 220000011, 220000022, 220000033, 220000044, 220000055, 220000066, 220000077, 220000088, 220000099, 220000111, 220000222, 220000333, 220000444, 220000555, 220000666, 220000777, 220000888, 220000999, 222000000, 222000011, 222000022, 222000033, 222000044, 222000055, 222000066, 222000077, 222000088, 222000099, 222000111, 222000222, 222000333, 222000444, 222000555, 222000666, 222000777, 222000888, 222000999, 330000000, 330000011, 330000022, 330000033, 330000044, 330000055, 330000066, 330000077, 330000088, 330000099, 330000111, 330000222, 330000333, 330000444, 330000555.

Some larger examples :