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131401315332 = 223271076317723
BaseRepresentation
bin111101001100000100…
…0001111010000000100
3110120011120202102212200
41322120020033100010
54123102214042312
6140210454114500
712331150515540
oct1723010172004
9416146672780
10131401315332
11507aa687081
122157204ba30
13c5112c3bc1
146507640a20
153640db80dc
hex1e9820f404

131401315332 has 144 divisors (see below), whose sum is σ = 383808402432. Its totient is φ = 37128611520.

The previous prime is 131401315313. The next prime is 131401315361. The reversal of 131401315332 is 233513104131.

131401315332 is a `hidden beast` number, since 1 + 3 + 14 + 0 + 1 + 315 + 332 = 666.

131401315332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 131401315296 and 131401315305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17010423 + ... + 17018145.

It is an arithmetic number, because the mean of its divisors is an integer number (2665336128).

Almost surely, 2131401315332 is an apocalyptic number.

131401315332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131401315332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191904201216).

131401315332 is an abundant number, since it is smaller than the sum of its proper divisors (252407087100).

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

131401315332 is a wasteful number, since it uses less digits than its factorization.

131401315332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8478 (or 8473 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 131401315332 its reverse (233513104131), we get a palindrome (364914419463).

The spelling of 131401315332 in words is "one hundred thirty-one billion, four hundred one million, three hundred fifteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 428 631 642 749 963 1262 1284 1498 1893 1926 2247 2524 2996 3786 3852 4417 4494 5679 6741 7572 7723 8834 8988 11358 13251 13482 15446 17668 22716 23169 26502 26964 30892 39753 46338 53004 54061 67517 69507 79506 92676 108122 135034 139014 159012 162183 202551 216244 270068 278028 324366 405102 472619 486549 607653 648732 810204 826361 945238 973098 1215306 1417857 1652722 1890476 1946196 2430612 2479083 2835714 3305444 4253571 4873213 4958166 5671428 5784527 7437249 8507142 9746426 9916332 11569054 14619639 14874498 17014284 17353581 19492852 23138108 29239278 29748996 34112491 34707162 43858917 52060743 58478556 68224982 69414324 87717834 102337473 104121486 136449964 175435668 204674946 208242972 307012419 409349892 521433791 614024838 1042867582 1228049676 1564301373 2085735164 3128602746 3650036537 4692904119 6257205492 7300073074 9385808238 10950109611 14600146148 18771616476 21900219222 32850328833 43800438444 65700657666 131401315332