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nude n.  and  self n.

First numbers that belong to both sets:

1, 3, 5, 7, 9, 132, 222, 244, 288, 312, 424, 648, 1111, 1122, 1144, 1155, 1212, 1311, 1335, 1368, 1412, 1515, 1715, 2112, 2224, 2448, 3111, 3135, 3168, 3315, 3717, 3864, 4112, 4248, 5115, 6384, 7644, 8184, 11112, 11224, 11448, 12124, 12168, 12212, 12864, 13248, 13797, 14328, 14664, 14888, 15575, 16128, 16464, 16644, 16824, 17724, 18264, 18488, 18624, 18824, 18848, 19926, 21124, 21168, 21212, 21864, 22112, 22248, 22764, 23328, 23664, 24384, 26184, 26364, 28344, 29916, 31248, 31731, 32328, 32664, 33384, 34128, 34464, 34644, 34824, 36264, 36444, 36624, 37737, 37926, 38424, 39816, 39996, 41328, 41664, 41888, 42384, 43128, 43464, 43644, 43824, 44184, 44364, 46164, 46344, 48144, 48816, 49896, 57155, 57715, 61128, 61464, 61644, 61824, 62184, 62364, 63264, 63444, 63624, 64164, 64344, 66144, 66324, 66816, 66996, 68616, 69696, 69966, 71722, 73164, 74424, 74872, 77616, 77728, 81264, 81488, 81624, 81824, 81848, 82344, 83424, 84144, 84728, 84816, 86616, 87248, 87472, 87696, 88416, 88888, 89496, 91926, 92916, 93177, 93816, 93996, 94896, 96696, 96966, 97776, 98496, 99126, 99216, 99396, 99666, 99936, 111111, 111124, 111135, 111168, 111212, 111315, 111515, 111864, 112112, 112248, 113115, 113328, 113664, 114384, 114744, 115115, 116184, 116364, 117117, 117264, 117488, 117712, 117824, 118344, 119916, 121112, 121248, 122328, 122664, 122888, 123384, 124128, 124464, 124644, 124824, 126264, 126444, 126624, 127344, 128288, 128424, 129816, 129996, 131115, 131328, 131664, 132384, 133128, 133464, 133644, 133824, 134184, 134364, 136164, 136344, 136926, 137424, 138144, 138816, 139626, 139896, 141384, 142128, 142464, 142644, 142824, 143184, 143364, 143724, 144264, 144444, 144488, 144624, 144824, 144848, 146244, 146424, 146916, 147728, 148224, 148424, 148448, 148896, 149616, 151115, 161184, 161364, 162264, 162444, 162624, 163164, 163344, 163926, 164244, 164424, 164916, 166224, 166626, 166896, 168696, 169326, 169416, 171444, 174412, 178416, 179676, 181344, 182288, 182424, 183144, 183816, 184224, 184424, 184448.

Some larger examples :