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gapful n.  and  weird n.

First numbers that belong to both sets:

10430, 10570, 10990, 11410, 11690, 12110, 12530, 12670, 13370, 13510, 13790, 13930, 14770, 15610, 15890, 16030, 16310, 16730, 16870, 17570, 17990, 18410, 18830, 18970, 19390, 19670, 19810, 45356, 70630, 70910, 71330, 71470, 72170, 72310, 72730, 73430, 73570, 74270, 74410, 74830, 76090, 76370, 76510, 76790, 77210, 77630, 78190, 78610, 79030, 83312, 100030, 100310, 100730, 101290, 101570, 101710, 102130, 102970, 103670, 103810, 104090, 104230, 104510, 104930, 105770, 106610, 107170, 108010, 108430, 108710, 109130, 109690, 109970, 110530, 110810, 111790, 112070, 112490, 112630, 112910, 113330, 113470, 113890, 114590, 115990, 116410, 116690, 116830, 118510, 118790, 118930, 119630, 120470, 120610, 121310, 121870, 122290, 122710, 123130, 124390, 124810, 125090, 125230, 126070, 126770, 127610, 128170, 129290, 130270, 130690, 130970, 131110, 131390, 131530, 132230, 133070, 133490, 133910, 135170, 135310, 136430, 136570, 138110, 138530, 139090, 139510, 139790, 139930, 140210, 140770, 141190, 141890, 142030, 142730, 143710, 144410, 144830, 145670, 145810, 146090, 146230, 146930, 147770, 147910, 149030, 149170, 149590, 149870, 150010, 150710, 151270, 152530, 154210, 154490, 154910, 155470, 156590, 156730, 157010, 157570, 158690, 158830, 159110, 159670, 160090, 160510, 160790, 161630, 161770, 163310, 163730, 163870, 164290, 164570, 164990, 165970, 166390, 166670, 166810, 167230, 167510, 167930, 168770, 169190, 169610, 170590, 170870, 171290, 172130, 172690, 173110, 173390, 175210, 176470, 177170, 177730, 178010, 178430, 178570, 178990, 180530, 181370, 181510, 182630, 183190, 183470, 184310, 185290, 185990, 186130, 186410, 186970, 187390, 187810, 188090, 188230, 188510, 188930, 189490, 189770, 189910, 190330, 191030, 191170, 191870, 192430, 192710, 193690, 194390, 195230, 195370, 195790, 196070, 196210, 197330, 198310, 198590, 199010, 199570, 199990, 243892, 254012, 475684, 700490, 700630, 702590, 702730, 704270, 704690, 704830, 705530, 706370, 706510, 706930, 707210, 707770, 709310, 709730, 709870, 710570, 711130, 711410, 711830, 712390, 712670, 713510, 714770, 715610, 717010, 717290, 717710, 718130, 718690, 718970, 719110, 720230, 721070, 721210, 721910, 722470.

Some larger examples :