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102552255630 = 23451112838971
BaseRepresentation
bin101111110000010010…
…1110011110010001110
3100210201001011100210000
41133200211303302032
53140011334140010
6115040054425130
710260224535006
oct1374045636216
9323631140700
10102552255630
113a546090580
1217a606621a6
139894506b86
144d6bdd5006
152a033387c0
hex17e0973c8e

102552255630 has 160 divisors (see below), whose sum is σ = 301087974528. Its totient is φ = 24839006400.

The previous prime is 102552255599. The next prime is 102552255683. The reversal of 102552255630 is 36552255201.

102552255630 is a `hidden beast` number, since 1 + 0 + 2 + 55 + 22 + 556 + 30 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11427045 + ... + 11436015.

Almost surely, 2102552255630 is an apocalyptic number.

102552255630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102552255630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150543987264).

102552255630 is an abundant number, since it is smaller than the sum of its proper divisors (198535718898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102552255630 is a wasteful number, since it uses less digits than its factorization.

102552255630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10284 (or 10275 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 102552255630 in words is "one hundred two billion, five hundred fifty-two million, two hundred fifty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1283 1485 1782 2566 2970 3849 4455 6415 7698 8910 8971 11547 12830 14113 17942 19245 23094 26913 28226 34641 38490 42339 44855 53826 57735 69282 70565 80739 84678 89710 98681 103923 115470 127017 134565 141130 161478 173205 197362 207846 211695 242217 254034 269130 296043 346410 381051 403695 423390 484434 493405 519615 592086 635085 726651 762102 807390 888129 986810 1039230 1143153 1211085 1270170 1453302 1480215 1776258 1905255 2286306 2422170 2664387 2960430 3633255 3810510 4440645 5328774 5715765 7266510 7993161 8881290 11431530 11509793 13321935 15986322 23019586 26643870 34529379 39965805 57548965 69058758 79931610 103588137 115097930 126607723 172646895 207176274 253215446 310764411 345293790 379823169 517940685 621528822 633038615 759646338 932293233 1035881370 1139469507 1266077230 1553822055 1864586466 1899115845 2278939014 3107644110 3418408521 3798231690 4661466165 5697347535 6836817042 9322932330 10255225563 11394695070 17092042605 20510451126 34184085210 51276127815 102552255630