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130873560255 = 32541795991499
BaseRepresentation
bin111100111100010101…
…1000000110010111111
3110111210210200201000100
41321320223000302333
54121012112412010
6140042242332143
712312111623154
oct1717053006277
9414723621010
10130873560255
1150559792959
122144535a053
13c458b718a9
14649750222b
15360e8bb2c0
hex1e78ac0cbf

130873560255 has 96 divisors (see below), whose sum is σ = 235872000000. Its totient is φ = 67077803520.

The previous prime is 130873560247. The next prime is 130873560271. The reversal of 130873560255 is 552065378031.

130873560255 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 7 + 35 + 602 + 5 + 5 = 666.

It is not a de Polignac number, because 130873560255 - 23 = 130873560247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 130873560255.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87306496 + ... + 87307994.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000000).

Almost surely, 2130873560255 is an apocalyptic number.

130873560255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130873560255 is a deficient number, since it is larger than the sum of its proper divisors (104998439745).

130873560255 is a wasteful number, since it uses less digits than its factorization.

130873560255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 130873560255 in words is "one hundred thirty billion, eight hundred seventy-three million, five hundred sixty thousand, two hundred fifty-five".

Divisors: 1 3 5 9 15 41 45 79 123 205 237 369 395 599 615 711 1185 1499 1797 1845 2995 3239 3555 4497 5391 7495 8985 9717 13491 16195 22485 24559 26955 29151 47321 48585 61459 67455 73677 118421 122795 141963 145755 184377 221031 236605 307295 355263 368385 425889 553131 592105 709815 897901 921885 1065789 1105155 1776315 1940161 2129445 2693703 2765655 4489505 4855261 5328945 5820483 8081109 9700805 13468515 14565783 17461449 24276305 29102415 36813941 40405545 43697349 70934179 72828915 87307245 110441823 184069705 212802537 218486745 331325469 354670895 552209115 638407611 1064012685 1656627345 2908301339 3192038055 8724904017 14541506695 26174712051 43624520085 130873560255