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Moran n.  and  nialpdrome

First numbers that belong to both sets:

21, 42, 63, 84, 111, 222, 333, 444, 511, 531, 555, 666, 711, 730, 732, 774, 777, 888, 954, 999, 4311, 4330, 5410, 6310, 6331, 6443, 7322, 7542, 7543, 8110, 8622, 8660, 8841, 9740, 9854, 33310, 42111, 55422, 62110, 65541, 65544, 66620, 74322, 76211, 77511, 77733, 84222, 84441, 86331, 86643, 87432, 88221, 88732, 88865, 93222, 94411, 95553, 96411, 97220, 97551, 97770, 99930, 99972, 332110, 432211, 433333, 533322, 543333, 544433, 555432, 664220, 665321, 666441, 754331, 754442, 755541, 766611, 772220, 775521, 776331, 777411, 864422, 866111, 866666, 875421, 875552, 876630, 877511, 877530, 877644, 887430, 887610, 888330, 888885, 943220, 965331, 977610, 985311, 986610, 986652, 987330, 987510, 987732, 995430, 996330, 997410, 998532, 998751, 999921, 3111111, 3221110, 5111110, 5443221, 5532211, 5533311, 5544422, 5552211, 6222221, 6222222, 6433220, 6442220, 6532220, 6541111, 6642111, 6653332, 6662111, 7442211, 7522221, 7552211, 7555221, 7655430, 7655542, 7665330, 7665510, 7744421, 7765410, 7766532, 7775310, 7777332, 7777731, 8543332, 8654430, 8654432, 8666310, 8744430, 8764410, 8765532, 8772111, 8774310, 8776332, 8776442, 8776443, 8844331, 8853330, 8873310, 8875110, 8877443, 8877531, 8877555, 8877640, 8884110, 8884332, 8886555, 8887720, 9333333, 9443331, 9444411, 9622211, 9655410, 9663330, 9665532, 9742221, 9744330, 9744444, 9764310, 9766110, 9773310, 9774210, 9777642, 9833211, 9863310, 9865110, 9877433, 9882211, 9884433, 9885555, 9887664, 9888522, 9944422, 9953310, 9966642, 9977771, 9988752, 9998832, 9999881, 9999882, 9999950, 22211110, 32221111, 33333321, 43222211, 44332220, 44422220, 44442111, 55222220, 64222221, 64442222, 64444221, 65421111, 65544330, 66633330, 66655110, 66666533, 66666642, 72222211, 73222220, 74444211, 75433221, 75443211, 75444444, 75544410, 76443330, 76542111, 76644210, 76663332, 77444310, 77544210, 77554110, 77643210, 77653332, 77666442, 77666511, 77743332, 77752110, 77754422, 77755431, 77774440, 77777322, 84444330, 85533330, 85553310, 85555554, 86444422, 86532111, 86544210, 86553210, 86633310, 86642111, 86643322, 87444211, 87543210, 87544110, 87544332, 87553110, 87733110, 87733332, 87775311, 87777777, 88633110, 88642110, 88651110, 88655551, 88664440, 88754440, 88775521, 88831110, 88844440, 88865320, 88866311, 88877751, 88884222, 88887543, 88887650, 88888421, 88888550, 94444321, 95433330, 95544210, 95553210, 96432221.

Some larger examples :