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cyclic n.  and  pandigital

First numbers that belong to both sets:

2, 11, 15, 19, 141, 177, 8345, 8735, 8765, 11345, 11595, 12545, 13055, 13085, 13415, 13505, 13685, 15195, 15935, 16265, 16405, 16535, 16615, 16765, 16795, 16985, 17645, 17735, 17895, 19505, 19595, 19615, 19645, 19805, 20545, 20665, 20795, 20855, 20935, 21135, 21415, 21565, 22195, 22395, 22705, 22915, 23005, 23645, 23915, 23935, 23965, 24245, 24295, 24385, 24785, 25085, 25565, 25985, 26165, 26795, 26965, 28565, 28615, 28745, 28805, 29665, 30265, 30385, 31655, 31835, 31945, 32495, 33065, 33555, 33755, 33815, 33895, 34095, 34795, 34885, 35045, 35095, 35285, 35435, 35455, 36145, 38035, 38245, 38305, 39685, 39865, 41605, 41835, 42145, 42265, 42355, 42445, 42865, 43345, 44115, 44185, 44355, 44515, 44535, 124095, 124113, 124143, 124359, 124491, 124689, 125781, 125871, 126489, 126537, 126879, 127041, 128211, 128229, 128595, 129111, 129135, 131169, 131343, 133215, 133359, 133593, 133611, 133899, 152535, 152619, 152907, 153555, 153591, 158703, 158757, 159879, 160773, 162879, 163491, 163509, 164343, 164499, 164595, 164667, 164685, 165855, 165939, 167289, 168999, 169773, 173163, 174495, 174633, 177819, 178005, 181059, 181491, 182163, 182235, 182607, 182613, 182751, 183363, 184209, 184389, 185853, 185883, 186171, 186195, 186909, 187059, 189951, 192813, 193017, 193839, 194385, 197931, 199041, 199551, 201147, 202845, 202857, 202929, 203037, 203181, 203199, 206679, 206709, 206727, 207717, 207813, 207885, 208155, 208695, 209031, 209199, 209211, 210279, 210363, 212001, 212127, 216267, 216303, 216807, 217149, 217317, 219363, 219399, 220371, 224355, 224691, 225033, 225969, 226581, 227607, 228261, 228279, 228819, 229029, 229143, 230709, 231207, 232017, 239259, 239937, 239979, 239991, 243123, 244203, 244767, 244833, 245433, 245517, 246021, 246189, 246219, 246921, 247047, 247119, 247839, 248541, 248865, 248979, 248991, 250269, 250941, 250989, 251151, 251331, 253749, 254139, 254145, 254343, 260931, 260979, 261057, 261321, 261897, 262785, 263451, 263721, 266745, 266781, 267789, 267909, 268035, 268251, 268377, 287349, 287517, 287673, 288051, 288399, 288411, 288447, 288453, 289743, 290211, 295629, 295917.

Some larger examples :