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cyclic n.  and  esthetic n.

First numbers that belong to both sets:

23, 43, 65, 67, 87, 89, 101, 123, 321, 323, 345, 545, 565, 767, 787, 789, 989, 2101, 2123, 2321, 2323, 2343, 2345, 4321, 4323, 4343, 4543, 4567, 6767, 8765, 8767, 8787, 8789, 8987, 8989, 10123, 12101, 12121, 12323, 12343, 32101, 32123, 32321, 32323, 32343, 32345, 34321, 34343, 34345, 34543, 34567, 54323, 54343, 54345, 54545, 54565, 56543, 56545, 56567, 56765, 56767, 56789, 76543, 76565, 76567, 76767, 76787, 76789, 78765, 78767, 78787, 78987, 78989, 98765, 98767, 98789, 98987, 210101, 212101, 212123, 212321, 212323, 212345, 232121, 232321, 232343, 234323, 234343, 432101, 432121, 432323, 432343, 434321, 434323, 434345, 434543, 434545, 434567, 454343, 454543, 454565, 454567, 456545, 456565, 456567, 456767, 456787, 654323, 654343, 656543, 656567, 656767, 656789, 676565, 676567, 676765, 676787, 676789, 678767, 678787, 678989, 876543, 876545, 876565, 876767, 876787, 878765, 878767, 878789, 878987, 878989, 898765, 898787, 898789, 898987, 1010101, 1010123, 1012101, 1012121, 1012123, 1012321, 1012343, 1012345, 1210123, 1212101, 1212121, 1212323, 1212343, 1232101, 1232121, 1232123, 1232321, 1232323, 1232345, 1234343, 1234543, 1234565, 1234567, 3210101, 3210121, 3212101, 3212123, 3212321, 3212323, 3232101, 3232121, 3232123, 3232321, 3232343, 3232345, 3234323, 3234345, 3234545, 3234565, 3432101, 3432323, 3432343, 3434321, 3434323, 3434543, 3454321, 3454323, 3454343, 3454345, 3454543, 3454545, 3454565, 3454567, 3456545, 3456767, 3456787, 5432101, 5432123, 5432321, 5432345, 5434321, 5434343, 5434543, 5434545, 5434565, 5434567, 5454321, 5454323, 5454343, 5454545, 5456543, 5456545, 5456765, 5456767, 5456789, 5654321, 5654323, 5654345, 5654543, 5654545, 5654567, 5656543, 5656765, 5656787, 5656789, 5676545, 5676767, 5676787, 5676789, 5678765, 5678767, 5678789, 5678987, 5678989, 7654321, 7654343, 7654345, 7654543, 7654565, 7654567, 7656565, 7656767, 7656787, 7676543, 7676567, 7676765, 7676789, 7678765, 7678787, 7678789, 7678987, 7876543, 7876567, 7876767, 7876787, 7876789, 7878767, 7878787, 7878989, 7898767, 7898789, 7898987, 7898989, 9876545, 9876565, 9876767, 9876787, 9878767, 9878789, 9878987, 9878989, 9898787, 9898789.