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131413330333014 = 231737412503339307
BaseRepresentation
bin11101111000010100001100…
…110111111000110101010110
3122020021222202221101011102020
4131320110030313320311112
5114211034000031124024
61143254241151554010
736452204555262252
oct3570241467706526
9566258687334366
10131413330333014
1138966098041a64
12128a494a52b906
1358432bab1c272
142464620d61262
15102d567b5b979
hex77850cdf8d56

131413330333014 has 128 divisors (see below), whose sum is σ = 292897093450752. Its totient is φ = 39119321640960.

The previous prime is 131413330332989. The next prime is 131413330333037. The reversal of 131413330333014 is 410333033314131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 387129549 + ... + 387468855.

It is an arithmetic number, because the mean of its divisors is an integer number (2288258542584).

Almost surely, 2131413330333014 is an apocalyptic number.

131413330333014 is an abundant number, since it is smaller than the sum of its proper divisors (161483763117738).

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

131413330333014 is a wasteful number, since it uses less digits than its factorization.

131413330333014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341910.

The product of its (nonzero) digits is 34992, while the sum is 33.

Adding to 131413330333014 its reverse (410333033314131), we get a palindrome (541746363647145).

The spelling of 131413330333014 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred thirty million, three hundred thirty-three thousand, fourteen".

Divisors: 1 2 3 6 17 34 37 41 51 74 82 102 111 123 222 246 629 697 1258 1394 1517 1887 2091 2503 3034 3774 4182 4551 5006 7509 9102 15018 25789 42551 51578 77367 85102 92611 102623 127653 154734 185222 205246 255306 277833 307869 339307 555666 615738 678614 1017921 1574387 1744591 2035842 3148774 3489182 3797051 4723161 5233773 5768219 7594102 9446322 10467546 11391153 11536438 12554359 13911587 17304657 22782306 25108718 27823174 34609314 37663077 41734761 64549867 75326154 83469522 129099734 193649601 213424103 236496979 387299202 426848206 472993958 514728719 640272309 709490937 849285421 1029457438 1280544618 1418981874 1544186157 1698570842 2547856263 3088372314 5095712526 8750388223 14437852157 17500776446 26251164669 28875704314 31423560577 34820702261 43313556471 52502329338 62847121154 69641404522 86627112942 94270681731 104462106783 188541363462 208924213566 534200529809 591951938437 1068401059618 1183903876874 1288365983657 1602601589427 1775855815311 2576731967314 3205203178854 3551711630622 3865097950971 7730195901942 21902221722169 43804443444338 65706665166507 131413330333014