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Harshad n.  and  plaindrome

First numbers that belong to both sets:

1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 18, 24, 27, 36, 45, 48, 111, 112, 114, 117, 126, 133, 135, 144, 156, 222, 224, 225, 228, 234, 247, 266, 288, 333, 336, 378, 399, 444, 448, 468, 555, 558, 588, 666, 777, 888, 999, 1116, 1122, 1125, 1128, 1134, 1148, 1168, 1188, 1224, 1233, 1236, 1278, 1344, 1368, 1455, 1456, 1458, 1558, 1566, 1679, 2223, 2236, 2244, 2268, 2289, 2355, 2358, 2445, 2448, 2466, 2478, 2556, 2667, 2688, 2889, 3345, 3348, 3366, 3388, 3456, 3699, 3888, 4446, 4488, 4557, 4577, 4779, 5566, 5568, 5589, 5778, 6669, 6777, 11112, 11115, 11124, 11128, 11133, 11136, 11178, 11223, 11228, 11244, 11245, 11248, 11268, 11339, 11355, 11358, 11445, 11448, 11466, 11556, 11688, 11799, 12222, 12236, 12255, 12256, 12257, 12258, 12345, 12348, 12366, 12369, 12456, 12558, 13335, 13338, 13356, 13357, 13377, 13446, 13478, 13488, 13566, 13689, 13888, 14448, 14499, 14568, 14688, 15579, 15689, 17777, 17888, 22224, 22245, 22248, 22249, 22266, 22335, 22336, 22338, 22355, 22356, 22379, 22446, 22449, 22488, 22599, 22788, 23344, 23346, 23446, 23457, 23568, 23679, 24444, 24449, 24489, 24678, 25569, 25677, 25699, 33336, 33348, 33399, 33444, 33488, 33557, 33588, 33669, 33777, 34479, 34668, 35559, 35667, 36666, 37999, 44448, 44469, 44577, 46688, 48888, 55566, 56666, 56668, 57888, 66888, 67788, 67899, 111114, 111123, 111144, 111146, 111168, 111169, 111222, 111248, 111255, 111258, 111279, 111345, 111348, 111366, 111389, 111456, 111468, 111699, 111888, 112224, 112245, 112248, 112266, 112288, 112333, 112335, 112336, 112338, 112356, 112366, 112446, 112488, 112779, 113344, 113346, 113358, 113459, 113568, 113589, 113666, 113778, 114444, 114466, 114555, 114588, 114669, 114688, 114777, 115668, 116667, 122234, 122235, 122238, 122256, 122346, 122367, 122455, 122499, 122556, 122567, 122568, 122688, 122699, 123335, 123336, 123444, 123578, 123579, 124446, 124578, 125577.

Some larger examples :