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Moran n.  and  nude n.

First numbers that belong to both sets:

111, 222, 333, 444, 555, 666, 777, 888, 999, 1164, 1236, 1926, 1962, 2316, 3324, 6648, 9162, 11133, 11244, 11331, 11355, 11535, 11688, 11824, 12612, 13116, 13131, 13155, 13626, 13848, 14128, 14412, 15135, 15315, 16326, 18168, 21324, 21366, 21612, 22266, 22332, 22488, 22662, 23412, 24132, 26262, 28824, 31113, 31116, 31335, 31662, 31848, 32124, 32166, 33315, 33399, 33993, 34212, 35115, 37317, 38328, 38616, 39222, 39393, 42132, 42648, 44664, 46824, 48264, 53115, 61212, 61326, 61368, 62226, 63816, 64248, 66996, 68424, 73731, 77133, 81384, 84264, 93222, 93339, 111184, 111324, 112116, 112626, 113166, 113922, 114132, 116664, 118824, 121112, 121116, 121266, 121332, 121848, 122124, 122922, 124144, 128328, 132648, 133368, 136824, 141424, 144168, 146184, 162126, 164184, 181464, 182184, 183336, 184344, 186216, 193122, 213132, 213288, 214212, 216126, 216168, 218184, 218616, 221124, 221412, 221922, 222648, 223362, 228264, 231864, 232326, 233262, 233622, 236616, 238344, 241212, 242224, 242664, 243384, 243816, 244248, 248288, 261384, 261816, 263322, 263832, 269964, 281832, 282848, 284136, 291996, 292122, 299196, 311412, 316248, 319122, 321864, 322362, 323226, 323262, 323448, 326184, 326328, 328344, 328632, 331368, 332226, 336222, 336264, 344184, 344328, 346344, 361464, 362184, 362322, 363336, 363996, 364632, 366216, 381336, 381624, 411132, 411288, 412144, 412212, 414168, 416184, 416616, 418344, 418632, 423816, 426264, 428136, 428424, 431448, 433464, 434328, 436344, 442248, 442824, 443832, 463416, 481128, 482136, 482424, 483432, 484448, 499644, 613464, 614616, 616632, 618216, 622824, 632322, 632328, 634344, 639396, 644136, 649692, 663144, 666312, 681432, 684312, 692964, 699444, 717724, 811464, 813336, 814344, 822264, 823128, 824288, 824424, 828312, 831624, 832632, 834216, 836232, 841416, 842136, 864312, 922122, 944964, 946692, 949932, 992916, 999612, 1111112, 1111113, 1111116, 1111155, 1111311, 1111515, 1111626, 1111848, 1113132, 1113135, 1113864, 1113939, 1116168, 1117137, 1118184, 1119933, 1121124, 1123212, 1123368, 1124664, 1128112, 1131132, 1131288, 1131864, 1132212, 1133115, 1137171, 1138344, 1139319, 1141212, 1142224, 1143816, 1144824.

Some larger examples :