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nialpdrome  and  self n.

First numbers that belong to both sets:

1, 3, 5, 7, 9, 20, 31, 42, 53, 64, 75, 86, 97, 110, 211, 222, 310, 400, 411, 760, 771, 850, 861, 872, 883, 940, 951, 962, 973, 984, 995, 1111, 2110, 2200, 2211, 3100, 3111, 5440, 5530, 5541, 5552, 6000, 6430, 6441, 6520, 6531, 6542, 6553, 6621, 6632, 6643, 6654, 6665, 7330, 7420, 7431, 7442, 7521, 7532, 7543, 7554, 7620, 7622, 7633, 7644, 7655, 7666, 7710, 7721, 8320, 8331, 8421, 8432, 8443, 8520, 8522, 8533, 8544, 8555, 8610, 8621, 8700, 8711, 8722, 8880, 9220, 9321, 9332, 9420, 9422, 9433, 9444, 9510, 9521, 9600, 9611, 9622, 9870, 9881, 9960, 9971, 9982, 9993, 11110, 21100, 21111, 33000, 42000, 43330, 44320, 44331, 44421, 44432, 44443, 51000, 53320, 53331, 54220, 54321, 54332, 54420, 54422, 54433, 54444, 55221, 55320, 55322, 55333, 55410, 55421, 55500, 55511, 55522, 63220, 63321, 63332, 64221, 64320, 64322, 64333, 64410, 64421, 65220, 65222, 65310, 65321, 65400, 65411, 65422, 66210, 66221, 66300, 66311, 66322, 66660, 72220, 73221, 73320, 73322, 73333, 74220, 74222, 74310, 74321, 74400, 74411, 74422, 75210, 75221, 75300, 75311, 75322, 76110, 76200, 76211, 76222, 76650, 76661, 77100, 77111, 77550, 77640, 77651, 77662, 77730, 77741, 77752, 77763, 77774, 80000, 82221, 83220, 83222, 83310, 83321, 84210, 84221, 84300, 84311, 84322, 85110, 85200, 85211, 85222, 86100, 86111, 86550, 86640, 86651, 86662, 87540, 87551, 87630, 87641, 87652, 87663, 87731, 87742, 87753, 87764, 87775, 88440, 88530, 88541, 88552, 88631, 88642, 88653, 88664, 88730, 88732, 88743, 88754, 88765, 88776, 88820, 88831, 88833, 88844, 88855, 88866, 88877, 88888, 92220, 92222, 93210, 93221, 93300, 93311, 93322, 94110, 94200, 94211, 94222, 95100, 95111, 95550, 96540, 96551, 96630, 96641, 96652, 96663, 97440, 97530, 97541, 97552, 97631, 97642, 97653, 97664, 97730, 97732, 97743, 97754, 97765, 97776, 98000, 98430, 98441.

Some larger examples :