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nialpdrome  and  super-d n.

First numbers that belong to both sets:

31, 81, 310, 331, 332, 333, 431, 511, 531, 631, 731, 753, 810, 831, 881, 931, 944, 981, 988, 3100, 3310, 3320, 3321, 3322, 3330, 3331, 3332, 3333, 4310, 4331, 4431, 5110, 5111, 5310, 5331, 5431, 5511, 5531, 5533, 6310, 6331, 6411, 6431, 6531, 6631, 7310, 7322, 7331, 7431, 7530, 7531, 7631, 7632, 7721, 7731, 7752, 8100, 8310, 8331, 8431, 8433, 8444, 8531, 8631, 8632, 8731, 8810, 8831, 8855, 8877, 8881, 9310, 9331, 9431, 9440, 9531, 9631, 9652, 9731, 9810, 9831, 9873, 9880, 9881, 9931, 9963, 9981, 31000, 32111, 33100, 33200, 33210, 33211, 33220, 33221, 33222, 33300, 33310, 33311, 33320, 33321, 33322, 33330, 33331, 33332, 33333, 41111, 42221, 43100, 43310, 43331, 44211, 44310, 44331, 44431, 44442, 51100, 51110, 51111, 53100, 53310, 53331, 54310, 54331, 54431, 55110, 55310, 55330, 55331, 55431, 55511, 55531, 55553, 63100, 63310, 63331, 63333, 64110, 64111, 64310, 64331, 64431, 64433, 65310, 65331, 65431, 65511, 65531, 66310, 66331, 66431, 66531, 66631, 66665, 73100, 73220, 73221, 73222, 73310, 73322, 73331, 74310, 74321, 74331, 74431, 74442, 75300, 75310, 75331, 75431, 75442, 75511, 75531, 75533, 76310, 76311, 76320, 76321, 76322, 76331, 76431, 76531, 76631, 77111, 77210, 77310, 77331, 77421, 77431, 77520, 77531, 77532, 77533, 77631, 77731, 81000, 83100, 83310, 83331, 84310, 84321, 84322, 84330, 84331, 84332, 84333, 84431, 84440, 85310, 85331, 85431, 85511, 85531, 86310, 86320, 86331, 86431, 86531, 86631, 87310, 87331, 87431, 87442, 87531, 87622, 87631, 87642, 87731, 88100, 88310, 88331, 88431, 88444, 88522, 88531, 88550, 88631, 88663, 88664, 88665, 88731, 88770, 88810, 88831, 88832, 88855, 88877, 88881, 93100, 93310, 93331, 93333, 94310, 94331, 94400, 94431, 95111, 95310, 95331, 95431, 95511, 95521, 95531, 95555, 96310, 96331, 96431, 96520, 96531, 96631, 97310, 97331, 97431, 97441, 97531, 97631, 97653, 97731, 98100, 98222.

Some larger examples :