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odious n.  and  pandigital

First numbers that belong to both sets:

2, 11, 19, 21, 714, 722, 738, 954, 1022, 1054, 1070, 1102, 1110, 1138, 1178, 1190, 1202, 1294, 1398, 1454, 1634, 1646, 1654, 1670, 1730, 1766, 1778, 1790, 1826, 1922, 1934, 1946, 1982, 2014, 2054, 2102, 2134, 2154, 2226, 2386, 2402, 2426, 2538, 2558, 2582, 2586, 2642, 2678, 2766, 2778, 2790, 2826, 2882, 2902, 2930, 8345, 8375, 8530, 8585, 8600, 8630, 8735, 8745, 8765, 8780, 8835, 8955, 8980, 8990, 9020, 10505, 10535, 11045, 11050, 11165, 11190, 11255, 11370, 11430, 11825, 11840, 11860, 11870, 12270, 12630, 12710, 12760, 12770, 12820, 12840, 12890, 13055, 13100, 13160, 13425, 13575, 13590, 13685, 14060, 14160, 14390, 14710, 14800, 14850, 14930, 15000, 15140, 15210, 15230, 15240, 15905, 15935, 16265, 16355, 16375, 16390, 16485, 16605, 16615, 16690, 16695, 16750, 16785, 16795, 16990, 17525, 17530, 17670, 17700, 17735, 17895, 17910, 17950, 18040, 18090, 19510, 19595, 19615, 19645, 19805, 19830, 19840, 19860, 20335, 20530, 20580, 20665, 20855, 20875, 20925, 20985, 21415, 21570, 21870, 22090, 22095, 22150, 22195, 22270, 22275, 22380, 22395, 22705, 22720, 22740, 22825, 22905, 22915, 22935, 23645, 23650, 23720, 23740, 23825, 23950, 24295, 24460, 24505, 24800, 24820, 24830, 25230, 25260, 25505, 25520, 25680, 25720, 25730, 25780, 25850, 25860, 25990, 26095, 26110, 26125, 26285, 26320, 26825, 26850, 27025, 27150, 28580, 28595, 28615, 28705, 28910, 28975, 29010, 29600, 29605, 29630, 29665, 29860, 29870, 29890, 30180, 30265, 30280, 30300, 30385, 30745, 31415, 31460, 31520, 31595, 31605, 31655, 31735, 31855, 31945, 32275, 32300, 32305, 32495, 32595, 32945, 32970, 33065, 33080, 33230, 33500, 33570, 33590, 33755, 33885, 33895, 33935, 34025, 34355, 34375, 34410, 34525, 34530, 34830, 34885, 34890, 35045, 35060, 35075, 35095, 35180, 35185, 35225, 35310, 35400, 35605, 35610, 36080, 36085, 36110, 36145, 37640, 37705, 37820, 38035, 38125, 38305, 39190, 39220, 39230.

Some larger examples :