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evil n.  and  zygodrome

First numbers that belong to both sets:

33, 66, 77, 99, 111, 222, 444, 777, 888, 999, 1100, 1111, 1122, 1133, 1155, 1188, 2200, 2222, 2233, 2244, 2266, 2277, 2299, 3300, 3322, 3344, 3366, 3377, 4400, 4444, 4466, 4477, 4488, 4499, 5500, 5522, 5533, 5544, 5555, 5599, 6600, 6611, 6633, 6644, 6677, 6688, 7700, 7733, 7755, 7766, 7788, 7799, 8800, 8833, 8888, 8899, 9922, 9933, 9955, 9999, 11000, 11100, 11122, 11133, 11144, 11155, 11177, 11188, 11333, 22000, 22111, 22200, 22211, 22244, 22266, 22288, 22333, 22666, 22999, 33222, 33300, 33333, 33355, 33366, 33388, 33399, 33555, 33777, 33888, 33999, 44000, 44222, 44400, 44422, 44433, 44455, 44488, 44499, 44555, 44666, 44777, 55111, 55500, 55511, 55522, 55533, 55566, 55577, 55599, 55999, 66111, 66444, 66555, 66600, 66611, 66655, 66666, 66699, 77111, 77333, 77700, 77722, 77733, 77755, 77766, 77777, 77799, 77888, 88000, 88333, 88444, 88800, 88844, 88855, 88866, 88877, 99111, 99222, 99555, 99888, 99900, 99911, 99966, 99999, 110011, 110022, 110033, 110055, 111000, 111111, 111166, 111177, 111188, 111222, 111333, 111555, 111666, 111777, 112200, 112211, 112233, 112244, 112277, 112288, 113311, 113322, 113344, 113377, 114400, 114444, 114455, 114466, 114477, 115500, 115511, 115544, 115566, 115577, 115599, 116600, 116622, 116633, 116655, 116677, 116699, 117711, 117744, 117788, 118811, 118844, 118855, 119911, 119966, 119999, 220011, 220022, 220044, 220055, 220066, 220077, 221100, 221111, 221144, 221166, 221177, 221199, 222000, 222111, 222222, 222233, 222255, 222277, 222299, 222444, 222666, 222777, 223311, 223344, 223366, 223377, 223399, 224400, 224422, 224433, 224466, 224477, 224488, 224499, 225500, 225522, 225533, 225566, 225599, 226622, 226633, 226644, 226677, 226688, 227711, 227722, 227755, 227766, 227777, 228800, 228833, 228888, 229900, 229911, 229922, 229933, 229966, 229977, 229999, 330011, 330044, 330055, 331111, 331166, 331199, 332222, 332233, 332244, 332277, 332288, 333111, 333300, 333333, 333344, 333388, 333399, 333777, 333999, 334400, 334433, 334488, 335544, 335555, 335588, 336600, 336622.

Some larger examples :