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balanced n.  and  weird n.

First numbers that belong to both sets:

10570, 12530, 13370, 13510, 13790, 15890, 26110, 30170, 33530, 35630, 41930, 43190, 45290, 45710, 47810, 50890, 51310, 52010, 62090, 133070, 136430, 136570, 139090, 142030, 143710, 146090, 149870, 150710, 152530, 159110, 160090, 164990, 166810, 167510, 169190, 171290, 173390, 175210, 176470, 178570, 180530, 181370, 182630, 183190, 185990, 186130, 188510, 189770, 191170, 192710, 199990, 200270, 201530, 202090, 202790, 203210, 203630, 210070, 211610, 213430, 216230, 217630, 218330, 223370, 224630, 225190, 225470, 228970, 232330, 232610, 233030, 234290, 235270, 235970, 241990, 244370, 246890, 247310, 249130, 249970, 250670, 254012, 254590, 257390, 258370, 260330, 279230, 281890, 290710, 299110, 310870, 315490, 316190, 347830, 356930, 361970, 365890, 368270, 377090, 377930, 385490, 386470, 388990, 389830, 394730, 399070, 402010, 405370, 407890, 409010, 414610, 424690, 427070, 429170, 429310, 431410, 440090, 441070, 444710, 459410, 473270, 477610, 479990, 497210, 507710, 513310, 530110, 530390, 532210, 533470, 536830, 538090, 540190, 540610, 547190, 554330, 554890, 555310, 556570, 566230, 566510, 567070, 567770, 570290, 570988, 571270, 572530, 576310, 578410, 585410, 586390, 587090, 589330, 595070, 595910, 596890, 597590, 597730, 600670, 601930, 604870, 605290, 607670, 611870, 612290, 612710, 612788, 617804, 618590, 618730, 622090, 624610, 625310, 625870, 626570, 627830, 627836, 629930, 630910, 633430, 634690, 637210, 640570, 642884, 644210, 644630, 646228, 649810, 652330, 652610, 657370, 657790, 660730, 666470, 668570, 674030, 674170, 675430, 676270, 677530, 678230, 678790, 690130, 693070, 693490, 697690, 700630, 704830, 706930, 713510, 717010, 719110, 723310, 733390, 734090, 739690, 742490, 749770, 755230, 755930, 758170, 763210, 766990, 768530, 769090, 775810, 778330, 792470, 797930, 801010, 802690, 811756, 821170, 827890, 828310, 828730, 830690, 832090, 832790, 834610, 840490, 843524, 844970, 847490, 853790, 854770, 855890, 857570, 859670, 861070, 863588, 864010, 866390, 866530, 867370, 868604, 869470, 873110, 873530, 874370, 874790, 876890, 880810, 882770, 883330, 886130, 886970, 889910, 892990, 893410, 895370, 897610, 902230, 902930, 904330, 910210, 913430, 922810, 923090, 925330, 927430, 932890, 938828, 944930, 952910, 959630, 959770, 963908, 968870, 971530, 984970, 985810, 995470, 997570.