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131331012212078 = 27217613358135911
BaseRepresentation
bin11101110111000111100010…
…010101001011010101101110
3122020000010022001022100022022
4131313013202111023111232
5114203211403111241303
61143152344544550142
736443231624634500
oct3567074225132556
9566003261270268
10131331012212078
1138934195668358
12128909b6322352
1358385cc669273
14246065239bd70
15102b34addc438
hex7771e254b56e

131331012212078 has 96 divisors (see below), whose sum is σ = 243109628987328. Its totient is φ = 52871195059200.

The previous prime is 131331012212077. The next prime is 131331012212111. The reversal of 131331012212078 is 870212210133131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131331012212077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3657106943 + ... + 3657142853.

It is an arithmetic number, because the mean of its divisors is an integer number (2532391968618).

Almost surely, 2131331012212078 is an apocalyptic number.

131331012212078 is a deficient number, since it is larger than the sum of its proper divisors (111778616775250).

131331012212078 is a wasteful number, since it uses less digits than its factorization.

131331012212078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40138 (or 40131 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 131331012212078 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, twelve million, two hundred twelve thousand, seventy-eight".

Divisors: 1 2 7 14 17 34 49 98 119 238 613 833 1226 1666 3581 4291 7162 8582 10421 20842 25067 30037 35911 50134 60074 60877 71822 72947 121754 145894 175469 251377 350938 426139 502754 510629 610487 852278 1021258 1220974 1759639 2195153 2982973 3519278 4273409 4390306 5965946 8546818 15366071 22013443 29913863 30732142 37317601 44026886 59827726 74635202 107562497 128597291 154094101 215124994 257194582 261223207 308188202 374228531 522446414 748457062 900181037 1078658707 1800362074 1828562449 2157317414 2186153947 2619599717 3657124898 4372307894 5239199434 6301267259 12602534518 15303077629 18337198019 30606155258 36674396038 78830139383 107121543403 157660278766 214243086806 551810975681 1103621951362 1340112369511 2680224739022 3862676829767 7725353659534 9380786586577 18761573173154 65665506106039 131331012212078