Search a number
gapful n.  and  sliding n.

First numbers that belong to both sets:

110, 200, 700, 1001, 1010, 1100, 1330, 2000, 2225, 2500, 2540, 2900, 5200, 7000, 10010, 10100, 11000, 12580, 13300, 20000, 20500, 22025, 25000, 25040, 25400, 29000, 50200, 52000, 70000, 100001, 100010, 100100, 101000, 110000, 125080, 125800, 133000, 156890, 162650, 166250, 200000, 200500, 205000, 206125, 222500, 250000, 250040, 250400, 254000, 290000, 425000, 500200, 502000, 520000, 700000, 782530, 796250, 1000010, 1000100, 1001000, 1010000, 1100000, 1250080, 1250800, 1258000, 1330000, 1563140, 1568900, 1606250, 1626500, 1662500, 2000000, 2000500, 2004325, 2005000, 2050000, 2202500, 2225000, 2465125, 2500000, 2500040, 2500400, 2504000, 2540000, 2900000, 2950625, 4025000, 4250000, 5000200, 5002000, 5020000, 5200000, 7000000, 7825300, 7962500, 10000001, 10000010, 10000100, 10001000, 10010000, 10100000, 11000000, 12500080, 12500800, 12508000, 12580000, 13300000, 13581250, 15625064, 15625640, 15631400, 15689000, 16006250, 16062500, 16265000, 16625000, 19536370, 19582450, 20000000, 20000500, 20005000, 20005625, 20050000, 20500000, 20612500, 22025000, 22250000, 25000000, 25000040, 25000400, 25004000, 25040000, 25400000, 25990625, 29000000, 32003125, 40025000, 40250000, 42500000, 50000200, 50002000, 50020000, 50200000, 52000000, 70000000, 78253000, 79625000, 81250000, 100000010, 100000100, 100001000, 100010000, 100100000, 101000000, 107896250, 110000000, 125000080, 125000800, 125008000, 125080000, 125800000, 128781250, 133000000, 135812500, 156250640, 156256400, 156314000, 156890000, 160006250, 160062500, 160625000, 162650000, 166250000, 195317620, 195363700, 195824500, 200000000, 200000500, 200005000, 200050000, 200432500, 200500000, 205000000, 206125000, 220250000, 222500000, 244550225, 246512500, 248236625, 250000000, 250000040, 250000400, 250004000, 250040000, 250400000, 253628125, 254000000, 256390625, 285100625, 290000000, 295062500, 312500032, 400025000, 400250000, 402500000, 416225000, 425000000, 500000200, 500002000, 500020000, 500200000, 502000000, 508761250, 520000000, 531531250, 700000000, 782530000, 796250000, 801250000, 812500000, 1000000001, 1000000010, 1000000100, 1000001000, 1000010000, 1000100000, 1001000000, 1010000000, 1078962500, 1100000000, 1121656250, 1250000080, 1250000800, 1250008000, 1250080000, 1250800000, 1258000000, 1280781250, 1287812500, 1330000000, 1358125000, 1562500640, 1562506400, 1562564000, 1563140000, 1568900000, 1600006250, 1600062500, 1600625000, 1606250000, 1626500000, 1662500000, 1953130120, 1953176200, 1953637000, 1958245000, 2000000000, 2000000500, 2000005000, 2000050000, 2000500000, 2000562500, 2004325000, 2005000000, 2039903125, 2050000000, 2061250000, 2096828125, 2202500000, 2225000000, 2465125000, 2500000000, 2500000040, 2500000400, 2500004000, 2500040000, 2500400000, 2504000000, 2540000000, 2560390625.

Some larger examples :