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23131305244215 = 3357611237324391
BaseRepresentation
bin1010100001001101011010…
…01110110111011000110111
310000220022221102201022012000
411100212231032313120313
511012440403120303330
6121110212552430343
74605116210315040
oct520465516673067
9100808842638160
1023131305244215
117408a27862173
1227170033a83b3
13cba37123b3cc
1459d7bdb078c7
152a1a71d17560
hex1509ad3b7637

23131305244215 has 128 divisors (see below), whose sum is σ = 47806142115840. Its totient is φ = 10392521356800.

The previous prime is 23131305244199. The next prime is 23131305244219. The reversal of 23131305244215 is 51244250313132.

23131305244215 is a `hidden beast` number, since 2 + 3 + 131 + 30 + 52 + 442 + 1 + 5 = 666.

It is not a de Polignac number, because 23131305244215 - 24 = 23131305244199 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23131305244215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23131305244219) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71144670 + ... + 71469060.

It is an arithmetic number, because the mean of its divisors is an integer number (373485485280).

Almost surely, 223131305244215 is an apocalyptic number.

23131305244215 is an abundant number, since it is smaller than the sum of its proper divisors (24674836871625).

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

23131305244215 is a wasteful number, since it uses less digits than its factorization.

23131305244215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325710 (or 325704 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 23131305244215 its reverse (51244250313132), we get a palindrome (74375555557347).

The spelling of 23131305244215 in words is "twenty-three trillion, one hundred thirty-one billion, three hundred five million, two hundred forty-four thousand, two hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 61 63 105 135 183 189 305 315 427 549 915 945 1237 1281 1647 2135 2745 3711 3843 6185 6405 8235 8659 11133 11529 18555 19215 25977 33399 43295 55665 57645 75457 77931 129885 166995 226371 233793 324391 377285 389655 528199 679113 973173 1131855 1168965 1584597 1621955 2037339 2270737 2640995 2919519 3395565 4753791 4865865 6812211 7922985 8758557 10186695 11353685 14261373 14597595 19787851 20436633 23768955 34061055 43792785 59363553 61309899 71306865 98939255 102183165 138514957 178090659 296817765 306549495 401271667 415544871 534271977 692574785 890453295 1203815001 1246634613 2006358335 2077724355 2671359885 2808901669 3611445003 3739903839 6019075005 6233173065 8426705007 10834335009 14044508345 18057225015 18699519195 24477571687 25280115021 42133525035 54171675045 73432715061 75840345063 122387858435 126400575105 171343001809 220298145183 367163575305 379201725315 514029005427 660894435549 856715009045 1101490725915 1542087016281 2570145027135 3304472177745 4626261048843 7710435081405 23131305244215