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nialpdrome  and  Smith n.

First numbers that belong to both sets:

4, 22, 85, 94, 654, 663, 666, 762, 852, 861, 922, 985, 1111, 5422, 6531, 7762, 7764, 8421, 8653, 8754, 8766, 8851, 8864, 8874, 8883, 9330, 9522, 9633, 9742, 9760, 9840, 9843, 9861, 9880, 9942, 9975, 9985, 43222, 44331, 52222, 55432, 63330, 65542, 65552, 66332, 66440, 66650, 66651, 76443, 76522, 77422, 77442, 77664, 84433, 85533, 86433, 86552, 86622, 86631, 87322, 87522, 87640, 88550, 88760, 88821, 88842, 88863, 94332, 95422, 95433, 97222, 97542, 98554, 98653, 98655, 98832, 98840, 98853, 99630, 99742, 99760, 99840, 99920, 99985, 544441, 554433, 555543, 655411, 665432, 666553, 666640, 754321, 763220, 763332, 766320, 773322, 775310, 775530, 775544, 776620, 776641, 777432, 777621, 777664, 777760, 843322, 844411, 853222, 854432, 855553, 864222, 864321, 865311, 866444, 866540, 873333, 875440, 875542, 876541, 876544, 877422, 877522, 877542, 877630, 877711, 877752, 877761, 877764, 877772, 877774, 884432, 886533, 887530, 887532, 887760, 888321, 888331, 888444, 888720, 888774, 888776, 888822, 944311, 952222, 954440, 954441, 964311, 964431, 965433, 965510, 966520, 966541, 966630, 966640, 973111, 974322, 974430, 975443, 976522, 976662, 977422, 977520, 977622, 977740, 985332, 985441, 985522, 986521, 986611, 986622, 987420, 987660, 987754, 988100, 988330, 988411, 988431, 988542, 992211, 993210, 994332, 995422, 996310, 996421, 996544, 996640, 997222, 997440, 997443, 997700, 997762, 998440, 998532, 998550, 998554, 998610, 998620, 998622, 998730, 998820, 998830, 998852, 999520, 999640, 999950, 999970, 5555540, 6433222, 6433332, 6543330, 6555222, 6555332, 6555442, 6643311, 6644222, 6653331, 6655522, 6663210, 6665431, 6665532, 6665540, 6666632, 6666666, 7554332, 7555531, 7555544, 7653111, 7666410, 7666422, 7666530, 7666610, 7666632, 7755540, 7764441, 7766322, 7766554, 7766622, 7766642, 7766652, 7774222, 7774410, 7774432, 7775440, 7775522, 7776222, 7776650, 7777211, 7777432, 7777611, 7777755, 8551111, 8555433, 8555532, 8644432, 8644443, 8652222, 8654321, 8654331, 8655320, 8655431, 8655441, 8655444, 8655510, 8663300, 8664432, 8665532, 8666660, 8744444, 8754441, 8755330, 8764422, 8764431, 8765430, 8765511, 8766310, 8766660, 8773222, 8775211, 8776662, 8777500.

Some larger examples :