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untouchable n.  and  zygodrome

First numbers that belong to both sets:

88, 3366, 3388, 4488, 5544, 5588, 6688, 7788, 8844, 9922, 9966, 9988, 11000, 11100, 11166, 11666, 22200, 22244, 22288, 22888, 33222, 33300, 33322, 33366, 33666, 33888, 44422, 44466, 55000, 55588, 55888, 66000, 66622, 66666, 66888, 77000, 77222, 77788, 99444, 99666, 99888, 99900, 99922, 99966, 99988, 110000, 110022, 110088, 111100, 111166, 111222, 111888, 112222, 113300, 113388, 114400, 115544, 116622, 116644, 117700, 117744, 118866, 118888, 221100, 221144, 221166, 222222, 222666, 222888, 223300, 223344, 223388, 224422, 225522, 225544, 225588, 227766, 228822, 229944, 229988, 333222, 333366, 333444, 334400, 335500, 336666, 336688, 337766, 337788, 338822, 338866, 338888, 339900, 339922, 440022, 440066, 441144, 442288, 443300, 443388, 444222, 444400, 445588, 446644, 447700, 447722, 447766, 447788, 448800, 448866, 449900, 550022, 550044, 551166, 552200, 552288, 553344, 554466, 554488, 555444, 555588, 555666, 555888, 557700, 559922, 660066, 660088, 662222, 662244, 663300, 664400, 664488, 665544, 665588, 666000, 666622, 667788, 668888, 669900, 669988, 770022, 770066, 771188, 772200, 772222, 773322, 774422, 774444, 775500, 775522, 775544, 775566, 776688, 777000, 777444, 777666, 777766, 777888, 779922, 779944, 779966, 779988, 880066, 880088, 881166, 883388, 884400, 884422, 885566, 887700, 887722, 887766, 887788, 888222, 888866, 889900, 990022, 990066, 991100, 991122, 992244, 992288, 993300, 994466, 994488, 995500, 995566, 996644, 996666, 996688, 997722, 997766, 997788, 998866, 998888, 999000, 999444, 999966.