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gapful n.  and  odious n.

First numbers that belong to both sets:

100, 110, 121, 140, 143, 176, 200, 220, 242, 253, 280, 286, 341, 352, 385, 400, 405, 440, 451, 484, 572, 583, 671, 682, 770, 781, 800, 880, 1001, 1010, 1030, 1053, 1060, 1064, 1070, 1090, 1092, 1095, 1110, 1120, 1125, 1130, 1140, 1150, 1159, 1160, 1180, 1183, 1190, 1204, 1207, 1216, 1221, 1240, 1245, 1250, 1270, 1274, 1296, 1305, 1330, 1332, 1335, 1344, 1349, 1350, 1368, 1377, 1380, 1390, 1392, 1395, 1414, 1420, 1425, 1441, 1456, 1480, 1485, 1500, 1510, 1540, 1547, 1550, 1573, 1580, 1600, 1605, 1610, 1620, 1624, 1630, 1640, 1660, 1670, 1694, 1700, 1703, 1710, 1717, 1729, 1730, 1750, 1760, 1770, 1780, 1790, 1810, 1812, 1815, 1840, 1845, 1850, 1860, 1870, 1872, 1875, 1881, 1887, 1900, 1905, 1908, 1936, 1970, 1990, 2002, 2020, 2060, 2075, 2093, 2106, 2120, 2125, 2128, 2140, 2180, 2184, 2187, 2220, 2225, 2240, 2260, 2280, 2300, 2320, 2323, 2325, 2332, 2360, 2366, 2380, 2408, 2425, 2442, 2475, 2480, 2500, 2540, 2548, 2552, 2639, 2660, 2664, 2675, 2688, 2700, 2727, 2751, 2756, 2760, 2780, 2783, 2784, 2825, 2828, 2840, 2882, 2929, 2960, 2975, 3000, 3003, 3094, 3131, 3159, 3210, 3240, 3268, 3325, 3333, 3367, 3420, 3434, 3441, 3458, 3535, 3540, 3549, 3604, 3630, 3690, 3720, 3737, 3750, 3774, 3810, 3815, 3816, 3872, 3944, 3955, 4004, 4040, 4120, 4141, 4185, 4186, 4240, 4280, 4360, 4365, 4368, 4416, 4440, 4452, 4455, 4459, 4480, 4520, 4545, 4551, 4560, 4600, 4640, 4646, 4664, 4720, 4725, 4760, 4876, 4884, 4949, 4960, 5000, 5005, 5096, 5151, 5184, 5187, 5278, 5350, 5353, 5376, 5400, 5454, 5512, 5568, 5650, 5656, 5661, 5665, 5700, 5724, 5757, 5858, 5950, 5995, 6000, 6006, 6045, 6175, 6188, 6262, 6305, 6420, 6480, 6565, 6572, 6666, 6695.

Some larger examples :