Search a number
gapful n.  and  junction n.

First numbers that belong to both sets:

105, 315, 1001, 1005, 1020, 1110, 1207, 1215, 1310, 1320, 1510, 1512, 1520, 1710, 1720, 1815, 1910, 1920, 2002, 2025, 2220, 2408, 2420, 2620, 2725, 2820, 2925, 3003, 3120, 3510, 3712, 3720, 3815, 4004, 4416, 4725, 5005, 5512, 5724, 6006, 6420, 7007, 7425, 8008, 8925, 9009, 9024, 9215, 9720, 10005, 10016, 10020, 10023, 10024, 10035, 10110, 10215, 10217, 10304, 10310, 10320, 10413, 10510, 10512, 10514, 10520, 10710, 10720, 10724, 10815, 10910, 10920, 11004, 11010, 11025, 11115, 11210, 11214, 11216, 11220, 11410, 11412, 11420, 11610, 11616, 11620, 11713, 11715, 11810, 11820, 11917, 11925, 12015, 12016, 12020, 12110, 12120, 12221, 12310, 12312, 12320, 12510, 12520, 12615, 12623, 12710, 12720, 12825, 12912, 12920, 13010, 13107, 13210, 13212, 13216, 13220, 13319, 13321, 13410, 13420, 13509, 13515, 13610, 13616, 13620, 13725, 13812, 13820, 13923, 14016, 14020, 14030, 14110, 14112, 14120, 14310, 14320, 14415, 14421, 14510, 14520, 14625, 14712, 14714, 14720, 14920, 14924, 14930, 15010, 15012, 15020, 15029, 15210, 15216, 15220, 15315, 15317, 15410, 15414, 15420, 15521, 15525, 15612, 15616, 15620, 15624, 15820, 15830, 15915, 16020, 16030, 16032, 16110, 16114, 16120, 16215, 16310, 16320, 16324, 16425, 16512, 16520, 16621, 16720, 16730, 16815, 16920, 16930, 16932, 17010, 17020, 17025, 17115, 17119, 17210, 17216, 17220, 17325, 17412, 17420, 17527, 17616, 17620, 17630, 17715, 17721, 17820, 17830, 17832, 17925, 18015, 18020, 18030, 18110, 18120, 18213, 18225, 18312, 18320, 18520, 18530, 18615, 18720, 18730, 18732, 18821, 18825, 18829, 18918, 18920, 18930, 19010, 19020, 19035, 19123, 19125, 19212, 19216, 19220, 19420, 19430, 19515, 19616, 19620, 19630, 19632, 19725, 19818, 19820, 19824, 19830, 19921, 19935, 20020, 20025, 20220, 20420, 20608, 20620, 20723, 20725, 20812, 20820, 20826, 20925, 21020, 21024, 21028, 21120, 21308, 21320, 21413, 21520, 21625, 21720, 21825, 21912, 21920, 22008, 22025.

Some larger examples :