Search a number
brilliant n.  and  balanced n.

First numbers that belong to both sets:

9, 10, 15, 21, 35, 49, 169, 209, 527, 551, 583, 589, 611, 689, 713, 737, 779, 781, 793, 803, 817, 841, 899, 901, 913, 961, 2501, 2701, 3149, 3397, 3721, 7031, 8633, 10609, 11021, 11413, 11881, 12769, 12827, 13081, 13493, 13589, 13837, 13843, 14017, 14111, 14351, 14659, 14873, 14933, 15151, 15553, 16129, 16789, 16799, 16867, 33463, 33499, 34037, 34163, 34277, 35047, 35179, 35239, 35501, 35611, 35723, 35947, 36019, 36259, 36391, 37211, 37241, 37771, 37801, 37949, 37979, 38009, 38243, 38279, 38293, 38477, 39211, 39269, 39337, 39601, 40217, 40259, 41303, 41309, 41449, 41527, 41623, 41827, 41869, 41891, 42127, 42547, 42673, 43039, 43279, 43363, 43429, 43489, 43621, 43811, 43921, 44117, 44173, 44197, 44323, 44581, 44833, 44929, 45173, 46157, 46169, 46243, 46357, 47371, 47401, 47689, 49327, 49607, 49649, 49949, 50059, 50279, 50573, 50629, 50657, 50759, 50851, 51013, 51379, 51811, 51847, 51937, 52337, 52771, 53303, 53357, 53461, 53519, 53531, 53579, 53803, 53929, 54053, 54149, 54209, 54569, 55493, 55577, 56341, 56387, 57403, 57517, 57671, 57677, 57961, 58033, 58081, 58517, 58637, 58649, 59153, 59431, 59911, 59953, 60547, 61517, 61777, 61889, 62021, 62113, 62471, 62609, 62729, 63523, 63619, 64517, 64529, 64769, 131567, 132731, 132823, 133031, 133037, 133043, 133867, 134551, 134557, 134599, 134611, 134773, 134969, 134983, 135137, 135419, 135659, 135673, 135791, 135803, 135917, 135991, 136427, 136627, 136847, 136921, 136931, 137017, 137107, 137129, 137629, 137651, 137689, 137759, 137783, 137789, 137821, 137843, 137939, 138037, 138097, 138421, 138443, 138553, 138631, 138659, 138767, 138857, 138953, 139049, 139057, 139639, 140141, 140149, 140537, 140687, 141191, 141203, 141431, 141487, 141527, 141997, 142003, 142451, 142663, 142691, 142741, 142997, 143237, 143603, 143903, 143959, 143993, 144083, 144113, 144227, 144281, 144293, 144499, 144587, 144679, 144691, 144841, 144919, 145073, 145097, 145529, 145619, 146459, 146507, 146633, 146957, 146963, 147943, 147947, 148391.

Some larger examples :