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odious n.  and  sliding n.

First numbers that belong to both sets:

2, 7, 11, 25, 52, 70, 110, 133, 200, 205, 254, 290, 425, 502, 641, 925, 1001, 1010, 1330, 2225, 2500, 2504, 2540, 4025, 4250, 5020, 6266, 6325, 6410, 7000, 8125, 10010, 12508, 12580, 13300, 16265, 20000, 20005, 20050, 22250, 25004, 25400, 31570, 35125, 40250, 42500, 50002, 50020, 50200, 63250, 64100, 65000, 78253, 78500, 79405, 80125, 81250, 90925, 100001, 110000, 125008, 156890, 162650, 200050, 200500, 206125, 250000, 250040, 250400, 254000, 323125, 400025, 400250, 425000, 500020, 520000, 625016, 641000, 650000, 655625, 700000, 794050, 796250, 909250, 925000, 1000010, 1000100, 1001000, 1100000, 1250008, 1250080, 1258000, 1358125, 1562564, 2000000, 2000005, 2000500, 2061250, 2202500, 2225000, 2500004, 2500040, 2500400, 2540000, 2900000, 3125032, 3128200, 3203125, 3231250, 3445000, 3512500, 4000250, 5000002, 5000200, 5020000, 5200000, 6251600, 6466250, 6556250, 7073125, 7813780, 7940500, 8000125, 8012500, 9250000, 9775865, 9868025, 10000001, 10000100, 10010000, 10100000, 11000000, 12500008, 12878125, 15689000, 16006250, 16625000, 20000050, 20000500, 20005000, 20612500, 24651250, 25000004, 25000400, 25400000, 29000000, 31253200, 31282000, 31570000, 32312500, 35125000, 39065060, 40000025, 40002500, 40025000, 41622500, 48830173, 48848605, 50000002, 50020000, 50200000, 50876125, 53153125, 62500160, 62660000, 64100000, 64156250, 65562500, 69308125, 70000000, 78253000, 78500000, 80125000, 90925000, 92500000, 97657274, 97758650, 98680250, 100000001, 100000100, 107896250, 110000000, 125008000, 125800000, 128078125, 133000000, 160000625, 160062500, 160625000, 166250000, 195313012, 195317620, 195363700, 200000050, 200050000, 200432500, 205000000, 206125000, 220250000, 244181585, 244550225, 246512500, 248236625, 250000000, 250000040, 250000400, 250040000, 250400000, 253628125, 259906250, 312500032, 312503200, 312820000, 315700000, 320031250, 323125000, 351250000, 390627560, 390650600, 393185000, 400000025, 400002500, 400250000, 402500000, 416225000, 425000000, 488486050, 490329250, 500000020, 500020000, 508761250, 513953125, 625000160, 641000000, 646625000, 655625000, 707312500, 781262800, 782530000, 800001250, 812500000, 909250000, 925000000, 976572740, 976664900.