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junction n.  and  nialpdrome

First numbers that belong to both sets:

111, 210, 311, 410, 420, 511, 521, 610, 620, 622, 711, 721, 810, 820, 822, 911, 921, 1110, 2111, 2210, 2220, 3110, 3211, 3221, 3310, 3320, 3322, 4111, 4210, 4220, 4222, 4311, 4321, 4410, 4420, 4422, 5110, 5211, 5221, 5310, 5320, 5322, 5411, 5421, 5510, 5520, 5522, 6111, 6210, 6220, 6222, 6311, 6321, 6410, 6420, 6422, 6511, 6521, 6620, 6622, 7110, 7211, 7221, 7310, 7320, 7322, 7411, 7421, 7520, 7522, 7621, 7720, 7722, 7730, 8111, 8210, 8220, 8222, 8311, 8321, 8420, 8422, 8521, 8620, 8622, 8630, 8721, 8731, 8820, 8822, 8830, 8832, 9110, 9211, 9221, 9320, 9322, 9421, 9520, 9522, 9530, 9621, 9631, 9720, 9722, 9730, 9732, 9821, 9831, 9833, 9920, 9922, 9930, 9932, 11111, 21110, 22111, 22210, 22220, 22222, 31111, 32110, 32211, 32221, 33111, 33210, 33220, 33222, 33311, 33321, 41110, 42111, 42210, 42220, 42222, 43110, 43211, 43221, 43310, 43320, 43322, 44111, 44210, 44220, 44222, 44311, 44321, 44420, 44422, 51111, 52110, 52211, 52221, 53111, 53210, 53220, 53222, 53311, 53321, 54110, 54211, 54221, 54320, 54322, 54421, 55111, 55220, 55222, 55321, 55420, 55422, 55430, 55521, 55531, 61110, 62111, 62210, 62220, 62222, 63110, 63211, 63221, 63320, 63322, 64111, 64220, 64222, 64321, 64420, 64422, 64430, 65221, 65320, 65322, 65330, 65421, 65431, 65520, 65522, 65530, 65532, 66220, 66222, 66321, 66331, 66420, 66422, 66430, 66432, 66521, 66531, 66533, 66620, 66622, 66630, 66632, 71111, 72110, 72211, 72221, 73111, 73220, 73222, 73321, 74221, 74320, 74322, 74330, 74421, 74431, 75220, 75222, 75321, 75331, 75420, 75422, 75430, 75432, 75521, 75531, 75533, 76221, 76320, 76322, 76330, 76332, 76421, 76431, 76433, 76520, 76522, 76530, 76532, 76621, 76631, 76633, 77220, 77222, 77321, 77331, 77333, 77420, 77422, 77430, 77432, 77521, 77531, 77533, 77620, 77622, 77630, 77632, 77721, 77731, 77733, 81110, 82111, 82220, 82222, 83221.

Some larger examples :