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Curzon n.  and  plaindrome

First numbers that belong to both sets:

1, 2, 5, 6, 9, 14, 18, 26, 29, 33, 69, 78, 89, 113, 114, 125, 134, 138, 146, 158, 189, 233, 245, 249, 278, 338, 345, 366, 369, 378, 558, 789, 1118, 1125, 1133, 1134, 1146, 1166, 1169, 1178, 1229, 1233, 1238, 1269, 1278, 1289, 1338, 1346, 1349, 1458, 1469, 1478, 1778, 1889, 2225, 2246, 2258, 2345, 2366, 2466, 2478, 2589, 2666, 2778, 2889, 3345, 3366, 3389, 3449, 3458, 3666, 4446, 4466, 4566, 4578, 5558, 5789, 5889, 6669, 11114, 11129, 11138, 11145, 11226, 11234, 11334, 11345, 11349, 11358, 11369, 11558, 11666, 11669, 11678, 11778, 12234, 12249, 12258, 12266, 12338, 12345, 12366, 12458, 12489, 12558, 12669, 12678, 12789, 13334, 13346, 13349, 13358, 13445, 13446, 13589, 13889, 14466, 14489, 14589, 14666, 14669, 15569, 15666, 15678, 15689, 22226, 22245, 22266, 22289, 22349, 22446, 22458, 22469, 22569, 22589, 22778, 22889, 23345, 23378, 23466, 23478, 23669, 23889, 24558, 24569, 24578, 24666, 24669, 25566, 25578, 27789, 33366, 33369, 33569, 33578, 33669, 33789, 34445, 34449, 34458, 34689, 34778, 34889, 35666, 35669, 36689, 37778, 44889, 45569, 46778, 55889, 56678, 56778, 56889, 58889, 66689, 77778, 77789, 111134, 111146, 111158, 111189, 111246, 111249, 111266, 111278, 111389, 111489, 111566, 111669, 112233, 112245, 112289, 112334, 112338, 112349, 112358, 112445, 112566, 112578, 112889, 113334, 113345, 114566, 114569, 114578, 115689, 115889, 116678, 116778, 122225, 122246, 122333, 122334, 122345, 122366, 122469, 122478, 122669, 123369, 123449, 123489, 123669, 123789, 124445, 124446, 124566, 124889, 125558, 125589, 133338, 133445, 133449, 133466, 133478, 133566, 133569, 133778, 134489, 134558, 134589, 134666, 134789, 134889, 135666, 135678, 137789, 144489, 144569, 145889, 146669, 146678, 148889, 155778, 156666, 157889, 166889, 167778, 167789, 178889, 188889, 222234, 222258, 222269, 222278, 222338, 222369, 222446, 222489, 222578, 222669, 223358, 223445, 223446, 223466, 223566, 223589, 223889, 224469, 224558.

Some larger examples :