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131312112022112 = 2576911738948787
BaseRepresentation
bin11101110110110101111011…
…110010101011001001100000
3122012221022111212021012210112
4131312311323302223021200
5114202404201134201422
61143135541304150452
736441662355653030
oct3566657362531140
9565838455235715
10131312112022112
1138927176a3394a
1212889200768428
1358368a9aa69c8
14245d77c1a58c0
15102aae19baee2
hex776d7bcab260

131312112022112 has 96 divisors (see below), whose sum is σ = 295902904469760. Its totient is φ = 56190793720320.

The previous prime is 131312112022109. The next prime is 131312112022121. The reversal of 131312112022112 is 211220211213131.

It is a super-3 number, since 3×1313121120221123 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2691514583 + ... + 2691563369.

It is an arithmetic number, because the mean of its divisors is an integer number (3082321921560).

Almost surely, 2131312112022112 is an apocalyptic number.

It is an amenable number.

131312112022112 is an abundant number, since it is smaller than the sum of its proper divisors (164590792447648).

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

131312112022112 is a wasteful number, since it uses less digits than its factorization.

131312112022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66884 (or 66876 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 131312112022112 its reverse (211220211213131), we get a palindrome (342532323235243).

The spelling of 131312112022112 in words is "one hundred thirty-one trillion, three hundred twelve billion, one hundred twelve million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 691 1382 2764 4837 5528 9674 11056 17389 19348 22112 34778 38696 48787 69556 77392 97574 121723 139112 154784 195148 243446 278224 341509 390296 486892 556448 683018 780592 973784 1366036 1561184 1947568 2732072 3895136 5464144 10928288 12015799 24031598 33711817 48063196 67423634 84110593 96126392 134847268 168221186 192252784 235982719 269694536 336442372 384505568 471965438 539389072 672884744 848357143 943930876 1078778144 1345769488 1696714286 1887861752 2691538976 3393428572 3775723504 5938500001 6786857144 7551447008 11877000002 13573714288 23754000004 27147428576 47508000008 95016000016 190032000032 586214785813 1172429571626 2344859143252 4103503500691 4689718286504 8207007001382 9379436573008 16414014002764 18758873146016 32828028005528 65656056011056 131312112022112