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balanced n.  and  pandigital

First numbers that belong to both sets:

2, 11, 15, 19, 21, 75, 78, 99, 108, 114, 120, 135, 141, 147, 156, 177, 180, 198, 201, 210, 216, 225, 228, 694, 698, 714, 722, 738, 742, 894, 898, 954, 970, 978, 990, 1014, 1022, 1054, 1070, 1102, 1110, 1138, 1142, 1178, 1190, 1202, 1210, 1294, 1298, 1334, 1346, 1358, 1366, 1394, 1398, 1454, 1470, 1478, 1490, 1634, 1646, 1654, 1670, 1726, 1730, 1758, 1766, 1778, 1790, 1826, 1830, 1914, 1922, 1934, 1946, 1982, 1986, 2014, 2022, 2054, 2070, 2102, 2110, 2134, 2146, 2154, 2170, 2226, 2230, 2382, 2386, 2402, 2410, 2426, 2430, 2538, 2542, 2558, 2566, 2582, 2586, 2638, 2642, 2678, 2690, 2702, 2710, 2758, 2766, 2778, 2790, 2826, 2830, 2882, 2886, 2902, 2910, 2926, 2930, 8345, 8350, 8375, 8385, 8410, 8415, 8525, 8530, 8585, 8600, 8620, 8630, 8735, 8745, 8765, 8780, 8835, 8840, 8950, 8955, 8980, 8990, 9015, 9020, 10505, 10510, 10535, 10545, 10570, 10575, 11045, 11050, 11165, 11190, 11200, 11220, 11255, 11265, 11345, 11370, 11415, 11430, 11470, 11475, 11560, 11580, 11595, 11610, 11765, 11770, 11825, 11840, 11860, 11870, 12125, 12130, 12245, 12270, 12280, 12300, 12545, 12560, 12605, 12630, 12710, 12720, 12760, 12770, 12820, 12840, 12890, 12900, 13055, 13065, 13085, 13100, 13155, 13160, 13415, 13425, 13505, 13530, 13575, 13590, 13625, 13640, 13685, 13710, 13790, 13800, 14055, 14060, 14115, 14130, 14150, 14160, 14350, 14355, 14380, 14390, 14415, 14420, 14710, 14715, 14800, 14820, 14835, 14850, 14920, 14930, 14980, 15000, 15050, 15060, 15135, 15140, 15195, 15210, 15230, 15240, 15905, 15910, 15935, 15945, 15970, 15975, 16265, 16270, 16355, 16375, 16390, 16405, 16475, 16485, 16535, 16555, 16605, 16615, 16690, 16695, 16750, 16765, 16785, 16795, 16985, 16990, 17015, 17025, 17050, 17055, 17525, 17530, 17645, 17670, 17680, 17700, 17735, 17745, 17825, 17850, 17895.

Some larger examples :