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ABA numbers
A number of the form A⋅BA for A, B > 1. more

The first 600 ABA numbers :
8, 18, 24, 32, 50, 64, 72, 81, 98, 128, 160, 162, 192, 200, 242, 288, 324, 338, 375, 384, 392, 450, 512, 578, 648, 722, 800, 882, 896, 968, 1024, 1029, 1058, 1152, 1215, 1250, 1352, 1458, 1536, 1568, 1682, 1800, 1922, 2048, 2178, 2187, 2312, 2450, 2500, 2592, 2738, 2888, 3000, 3042, 3200, 3362, 3528, 3698, 3872, 3993, 4050, 4232, 4374, 4418, 4608, 4802, 5000, 5120, 5184, 5202, 5408, 5618, 5832, 6050, 6272, 6498, 6591, 6728, 6962, 7200, 7442, 7688, 7938, 8192, 8232, 8450, 8712, 8978, 9248, 9522, 9604, 9800, 10082, 10125, 10240, 10368, 10658, 10952, 11250, 11552, 11858, 12168, 12288, 12482, 12800, 13122, 13448, 13778, 14112, 14450, 14739, 14792, 15138, 15309, 15488, 15625, 15842, 16200, 16384, 16562, 16928, 17298, 17496, 17672, 18050, 18432, 18818, 19208, 19602, 20000, 20402, 20577, 20808, 21218, 21632, 22050, 22472, 22528, 22898, 23328, 23762, 24000, 24200, 24576, 24642, 25088, 25538, 25992, 26244, 26450, 26912, 27378, 27783, 27848, 28322, 28800, 29282, 29768, 30258, 30752, 31250, 31752, 31944, 32258, 32768, 33282, 33800, 34322, 34848, 35378, 35912, 36450, 36501, 36992, 37538, 38088, 38642, 38880, 39200, 39762, 40000, 40328, 40898, 41472, 42050, 42632, 43218, 43808, 44402, 45000, 45602, 46208, 46818, 46875, 47432, 48050, 48672, 49152, 49298, 49928, 50562, 51200, 51842, 52488, 52728, 53138, 53792, 54450, 55112, 55778, 56448, 57122, 57800, 58482, 58564, 59049, 59168, 59858, 60552, 61250, 61952, 62658, 63368, 64082, 64800, 65522, 65856, 66248, 66978, 67712, 68450, 69192, 69938, 70688, 71442, 72200, 72962, 73167, 73728, 74498, 75272, 76050, 76832, 77618, 78408, 79202, 80000, 80802, 81000, 81608, 82418, 82944, 83232, 84035, 84050, 84872, 85698, 86528, 87362, 88200, 89042, 89373, 89888, 90738, 91592, 92450, 93312, 93750, 94178, 95048, 95922, 96800, 97682, 98304, 98568, 99458, 100352, 101250, 102152, 103058, 103968, 104882, 105800, 106496, 106722, 107648, 107811, 108578, 109512, 110450, 111392, 112338, 113288, 114242, 114244, 114688, 115200, 116162, 117128, 117912, 118098, 119072, 120050, 121032, 122018, 123008, 124002, 125000, 126002, 127008, 128018, 128625, 129032, 130050, 131072, 132098, 133128, 134162, 135200, 136242, 137288, 138338, 139392, 139968, 140450, 141512, 142578, 143648, 144722, 145800, 146882, 147968, 149058, 150152, 151250, 151959, 152352, 153458, 153664, 154568, 155682, 156800, 157922, 159048, 160178, 161312, 162450, 163592, 163840, 164616, 164738, 165888, 167042, 168200, 169362, 170528, 171698, 172872, 174050, 175232, 176418, 177147, 177608, 177957, 178802, 180000, 181202, 182408, 183618, 184832, 186050, 187272, 188498, 189728, 190962, 192000, 192200, 193442, 194688, 195938, 197192, 198450, 199712, 200978, 202248, 202500, 203522, 204800, 206082, 206763, 207368, 208658, 209952, 211250, 212552, 213858, 215168, 216482, 217800, 219122, 220448, 221778, 222264, 223112, 224450, 225792, 227138, 228488, 229376, 229842, 231200, 232562, 233928, 235298, 236672, 238050, 238521, 239432, 240818, 242208, 243602, 245000, 246402, 247808, 249218, 250632, 252050, 253472, 254898, 255552, 256328, 257762, 259200, 260642, 262088, 262144, 263538, 264992, 266450, 267912, 269378, 270848, 272322, 273375, 273800, 275282, 276768, 278258, 279752, 279936, 281250, 282752, 284258, 285768, 287282, 288800, 290322, 291848, 292008, 293378, 294912, 295245, 296450, 297992, 299538, 301088, 302642, 304200, 305762, 307328, 308898, 310472, 311469, 312050, 313632, 315218, 316808, 318402, 320000, 321602, 323208, 324818, 326432, 328050, 329672, 331298, 331776, 332928, 334084, 334562, 336200, 337842, 339488, 341138, 342792, 344450, 346112, 347778, 349448, 351122, 352800, 352947, 354482, 356168, 357858, 359552, 361250, 362952, 364658, 366368, 368082, 369800, 371522, 373248, 374978, 375000, 376712, 378450, 380192, 381938, 383688, 385442, 387200, 388962, 390728, 392498, 394272, 396050, 397832, 397953, 399618, 401408, 403202, 405000, 406802, 408608, 410418, 412232, 414050, 415872, 417698, 419528, 419904, 421362, 421824, 423200, 425042, 426888, 428738, 430592, 432450, 434312, 436178, 438048, 439922, 441800, 443682, 445568, 446631, 447458, 449352, 451250, 453152, 455058, 456968, 458882, 460800, 462722, 464648, 466578, 468512, 470450, 472392, 474338, 476288, 478242, 480200, 482162, 484128, 486098, 488072, 490050, 491520, 492032, 494018, 496008, 498002, 499125, 500000, 502002, 504008, 506018, 508032, 510050, 512072, 514098, 516128, 518162, 520200, 521284.

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 2252741 values, from 8 to 9999991256978).

n\r 0  1 
222450817660 2 
37609319751490835 3 
41126984382911180973831 4 
545078630628974178974194057 5 
6753388591490777754391658 6 
7321869639285639285645164563568148 7 
811263511914111804019176331915571914 8 
975089132649694649883264969435052323496946 9 
104491391505895916150325531647155715018959161504 10 
1120480115944079341596160117304080584079384079371603407949

A pictorial representation of the table above
motab
Imagine to divide the members of this family by a number n and compute the remainders. Should they be uniformly distributed, each remainder from 0 to n-1 would be obtained in about (1/n)-th of the cases. This outcome is represented by a white square. Reddish (resp. bluish) squares represent remainders which appear more (resp. less) frequently than 1/n.