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gapful n.  and  super-d n.

First numbers that belong to both sets:

105, 190, 231, 462, 781, 1050, 1053, 1056, 1060, 1064, 1065, 1070, 1188, 1190, 1270, 1310, 1331, 1377, 1512, 1616, 1690, 1752, 1764, 1810, 1881, 1900, 1919, 1965, 2331, 2475, 3131, 3180, 3325, 3330, 3333, 3360, 3367, 3390, 3480, 3690, 3810, 4961, 5369, 5454, 6528, 6900, 6969, 7373, 7490, 7632, 7840, 7881, 8181, 8787, 9810, 10131, 10190, 10310, 10360, 10460, 10469, 10490, 10496, 10500, 10510, 10512, 10514, 10515, 10520, 10530, 10540, 10543, 10545, 10548, 10550, 10557, 10560, 10570, 10571, 10572, 10575, 10576, 10580, 10584, 10590, 10600, 10605, 10610, 10620, 10630, 10632, 10635, 10638, 10640, 10650, 10654, 10656, 10659, 10660, 10665, 10670, 10673, 10680, 10681, 10690, 10692, 10695, 10700, 10710, 10720, 10810, 10845, 11145, 11190, 11230, 11231, 11310, 11419, 11450, 11451, 11475, 11494, 11680, 11690, 11775, 11781, 11810, 11880, 11900, 11989, 12190, 12252, 12310, 12331, 12369, 12495, 12614, 12690, 12700, 12705, 12708, 12810, 12881, 12888, 13035, 13100, 13190, 13272, 13310, 13319, 13428, 13431, 13690, 13770, 13810, 13981, 14176, 14190, 14269, 14292, 14310, 14355, 14530, 14531, 14532, 14535, 14540, 14574, 14652, 14690, 14710, 14810, 14870, 14895, 15081, 15105, 15120, 15190, 15219, 15310, 15317, 15318, 15414, 15560, 15631, 15672, 15690, 15810, 16128, 16160, 16167, 16169, 16170, 16181, 16190, 16310, 16450, 16511, 16512, 16690, 16731, 16810, 16900, 16965, 17119, 17190, 17208, 17281, 17310, 17374, 17520, 17536, 17592, 17610, 17640, 17654, 17690, 17780, 17810, 17831, 17920, 18012, 18069, 18083, 18100, 18190, 18310, 18381, 18470, 18480, 18656, 18690, 18705, 18738, 18810, 18855, 18931, 19000, 19005, 19008, 19010, 19019, 19056, 19190, 19230, 19260, 19261, 19264, 19310, 19458, 19481, 19485, 19650, 19680, 19690, 19810, 19890, 19903, 19964, 19969, 20152, 20181, 20275, 20277, 20280, 20460, 20619, 21231, 21240, 21357, 21472, 21475, 21476, 21480, 21520, 21624, 21820, 21861, 21900, 22069.

Some larger examples :