Numeri inferiori a 109 uguali alla somma di potenze crescenti delle cifre nelle basi da 2 a 20

La tabella seguente riporta i numeri inferiori a 109 uguali alla somma di potenze crescenti delle loro cifre nelle basi da 2 a 20.

Base

Numeri

2

12 = 1

3

13 = 1, 23 = 2, 123 = 5

4

14 = 1, 24 = 2, 34 = 3, 234 = 11, 11034 = 83, 11234 = 91

5

15 = 1, 25 = 2, 35 = 3, 45 = 4, 345 = 19, 1035 = 28, 20145 = 259, 134245 = 1114, 101101445 = 81924

6

16 = 1, 26 = 2, 36 = 3, 46 = 4, 56 = 5, 455 = 29

7

17 = 1, 27 = 2, 37 = 3, 47 = 4, 57 = 5, 67 = 6, 137 = 10, 247 = 18, 567 = 41, 1347 = 74, 1447 = 81, 10547 = 382, 36167 = 1336, 36267 = 1343

8

18 = 1, 28 = 2, 38 = 3, 48 = 4, 58 = 5, 68 = 6, 78 = 7, 678 = 55, 203568 = 8430, 1333268 = 46806

9

19 = 1, 29 = 2, 39 = 3, 49 = 4, 59 = 5, 69 = 6, 79 = 7, 89 = 8, 789 = 71, 60789 = 4445, 255479 = 17215, 361374789 = 17621783, 1334028879 = 59228332

10

1, 2, 3, 4, 5, 6, 7, 8, 9, 89, 135, 175, 518, 598, 1306, 1676, 2427, 2646798

11

111 = 1, 211 = 2, 311 = 3, 411 = 4, 511 = 5, 611 = 6, 711 = 7, 811 = 8, 911 = 9, A11 = 10, 2511 = 27, 3611 = 39, 9A11 = 109, 10511 = 126, 43811 = 525, 48811 = 580, 60911 = 735, 85A11 = 1033, 86A11 = 1044, 207711 = 2746, 4050911 = 59178, 4378911 = 63501, 515AA64A11 = 63501

12

112 = 1, 212 = 2, 312 = 3, 412 = 4, 512 = 5, 612 = 6, 712 = 7, 812 = 8, 912 = 9, A12 = 10, B12 = 11, AB12 = 131

13

113 = 1, 213 = 2, 313 = 3, 413 = 4, 513 = 5, 613 = 6, 713 = 7, 813 = 8, 913 = 9, A13 = 10, B13 = 11, C13 = 12, 1413 = 17, 6913 = 87, BC13 = 155, 16613 = 253, 17613 = 266, 20713 = 345, 30813 = 515, A4C13 = 1754, A9C13 = 1819, 89A3C13 = 250002, 29031A13 = 1000165, 6C3A9A9C13 = 435833891

14

114 = 1, 214 = 2, 314 = 3, 414 = 4, 514 = 5, 614 = 6, 714 = 7, 814 = 8, 914 = 9, A14 = 10, B14 = 11, C14 = 12, D14 = 13, CD14 = 181, 41BA14 = 11336, 90157D14 = 4844251

15

115 = 1, 215 = 2, 315 = 3, 415 = 4, 515 = 5, 615 = 6, 715 = 7, 815 = 8, 915 = 9, A15 = 10, B15 = 11, C15 = 12, D15 = 13, E15 = 14, 3715 = 52, 3715 = 52, 4815 = 68, DE15 = 209, 27815 = 563, 28815 = 578, 478B15 = 15206, 8A9D15 = 29398, B77E15 = 38819

16

116 = 1, 216 = 2, 316 = 3, 416 = 4, 516 = 5, 616 = 6, 716 = 7, 816 = 8, 916 = 9, A16 = 10, B16 = 11, C16 = 12, D16 = 13, E16 = 14, F16 = 15, 2616 = 38, 6A16 = 106, EF16 = 239, 3FEAC16 = 261804, A3EC5AF16 = 171885999

17

117 = 1, 217 = 2, 317 = 3, 417 = 4, 517 = 5, 617 = 6, 717 = 7, 817 = 8, 917 = 9, A17 = 10, B17 = 11, C17 = 12, D17 = 13, E17 = 14, F17 = 15, G17 = 16, FG17 = 271, 13C0A17 = 101738, 3D47ED17 = 5367270, 2A3A71D17 = 62775454, 721CE9F17 = 171949388

18

118 = 1, 218 = 2, 318 = 3, 418 = 4, 518 = 5, 618 = 6, 718 = 7, 818 = 8, 918 = 9, A18 = 10, B18 = 11, C18 = 12, D18 = 13, E18 = 14, F18 = 15, G18 = 16, H18 = 17, GH18 = 305, 6GCE18 = 40406

19

119 = 1, 219 = 2, 319 = 3, 419 = 4, 519 = 5, 619 = 6, 719 = 7, 819 = 8, 919 = 9, A19 = 10, B19 = 11, C19 = 12, D19 = 13, E19 = 14, F19 = 15, G19 = 16, H19 = 17, I19 = 18, 4919 = 85, 5A19 = 105, HI19 = 341, 20919 = 731, 317C19 = 21083, 641FF19 = 810023, 205GAD19 = 4992472, 17IAGCD19 = 66798959, 24BC86E19 = 105515013

20

120 = 1, 220 = 2, 320 = 3, 420 = 4, 520 = 5, 620 = 6, 720 = 7, 820 = 8, 920 = 9, A20 = 10, B20 = 11, C20 = 12, D20 = 13, E20 = 14, F20 = 15, G20 = 16, H20 = 17, I20 = 18, J20 = 19, IJ20 = 379, 154A20 = 10090