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deficient n.  and  esthetic n.

First numbers that belong to both sets:

10, 21, 23, 32, 34, 43, 45, 65, 67, 76, 87, 89, 98, 101, 121, 123, 212, 232, 321, 323, 343, 345, 434, 454, 543, 545, 565, 567, 656, 676, 765, 767, 787, 789, 878, 898, 987, 989, 1010, 1012, 1210, 1234, 2101, 2121, 2123, 2321, 2323, 2343, 2345, 3212, 3232, 3434, 3454, 4321, 4323, 4343, 4345, 4543, 4545, 4565, 4567, 5434, 5654, 5678, 6543, 6545, 6565, 6567, 6765, 6767, 6787, 6789, 7654, 7676, 7678, 7876, 7898, 8765, 8767, 8787, 8789, 8987, 8989, 9878, 9898, 10101, 10121, 10123, 12101, 12121, 12123, 12321, 12323, 12343, 12345, 21010, 21212, 21232, 23210, 23234, 23432, 23434, 23456, 32101, 32121, 32123, 32321, 32323, 32343, 32345, 34321, 34323, 34343, 34345, 34543, 34545, 34565, 34567, 43210, 43234, 43432, 43454, 45434, 45454, 45676, 54321, 54323, 54343, 54345, 54543, 54545, 54565, 54567, 56543, 56545, 56565, 56567, 56765, 56767, 56787, 56789, 65432, 65434, 65456, 65654, 65656, 65678, 67654, 67678, 67876, 67898, 76543, 76565, 76567, 76765, 76767, 76787, 76789, 78765, 78767, 78787, 78789, 78987, 78989, 87656, 87676, 87878, 87898, 89876, 89878, 98765, 98767, 98787, 98789, 98987, 98989, 101012, 101210, 101212, 101234, 121010, 121012, 121232, 121234, 123212, 123232, 123434, 123454, 210101, 210121, 210123, 212101, 212121, 212123, 212321, 212323, 212343, 212345, 232101, 232121, 232123, 232321, 232323, 232343, 232345, 234321, 234323, 234343, 234345, 234543, 234545, 234565, 234567, 321010, 321212, 323210, 323212, 323234, 323432, 323434, 343234, 343432, 343454, 343456, 345434, 345454, 345656, 345676, 432101, 432121, 432123, 432321, 432323, 432343, 432345, 434321, 434323, 434343, 434345, 434543, 434545, 434565, 434567, 454321, 454323, 454343, 454345, 454543, 454565, 454567, 456543, 456545, 456565, 456567, 456765, 456767, 456787, 456789, 543212, 543232, 543434, 543454, 545432, 545434, 545456, 545654, 545656, 545678, 565454, 565456, 565654, 565676, 565678, 567656, 567676, 567878, 567898, 654321, 654323, 654343.

Some larger examples :