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D-number  and  equidigital n.

First numbers that belong to both sets:

15, 21, 111, 123, 129, 141, 159, 177, 183, 201, 213, 219, 237, 249, 267, 291, 1011, 1041, 1047, 1059, 1077, 1101, 1119, 1137, 1149, 1167, 1191, 1203, 1227, 1257, 1263, 1293, 1299, 1317, 1329, 1347, 1371, 1383, 1389, 1401, 1437, 1461, 1473, 1497, 1509, 1527, 1563, 1569, 1623, 1641, 1671, 1689, 1707, 1713, 1731, 1761, 1779, 1797, 1803, 1821, 1839, 1851, 1857, 1893, 1923, 1929, 1941, 1959, 1977, 1983, 2019, 2031, 2049, 2073, 2103, 2127, 2157, 2181, 2199, 2217, 2229, 2253, 2271, 2283, 2307, 2319, 2361, 2391, 2427, 2433, 2463, 2469, 2481, 2487, 2517, 2559, 2571, 2577, 2589, 2631, 2643, 2649, 2661, 2721, 2733, 2757, 2787, 2811, 2823, 2841, 2859, 2901, 2913, 2931, 2949, 2973, 2991, 10029, 10041, 10077, 10083, 10113, 10119, 10167, 10173, 10221, 10239, 10299, 10347, 10371, 10383, 10389, 10401, 10407, 10473, 10497, 10533, 10551, 10581, 10587, 10599, 10617, 10623, 10641, 10671, 10677, 10713, 10743, 10749, 10779, 10821, 10839, 10851, 10869, 10893, 10911, 10929, 10977, 11013, 11019, 11031, 11073, 11091, 11103, 11127, 11157, 11181, 11199, 11217, 11283, 11301, 11307, 11337, 11379, 11391, 11409, 11463, 11469, 11499, 11541, 11553, 11559, 11589, 11631, 11643, 11667, 11721, 11733, 11751, 11757, 11769, 11787, 11793, 11829, 11841, 11901, 11967, 12003, 12009, 12021, 12039, 12057, 12063, 12081, 12147, 12153, 12171, 12219, 12237, 12273, 12279, 12297, 12333, 12381, 12387, 12399, 12417, 12459, 12471, 12477, 12531, 12603, 12633, 12651, 12657, 12687, 12693, 12723, 12729, 12759, 12777, 12783, 12813, 12819, 12849, 12867, 12891, 12981, 13011, 13017, 13047, 13071, 13089, 13119, 13173, 13191, 13227, 13263, 13269, 13323, 13341, 13353, 13371, 13389, 13443, 13449, 13479, 13521, 13539, 13551, 13557, 13569, 13641, 13647, 13683, 13701, 13749, 13773, 13791, 13809, 13863, 13911, 13917, 13929, 13947, 13953, 13971, 13989, 14019, 14037.

Some larger examples :