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112310321002332 = 223236712497485993
BaseRepresentation
bin11001100010010101001000…
…110010011011011101011100
3112201122202120101002220100220
4121202111020302123131130
5104210043014134033312
61034510352120521340
732441103311154135
oct3142251062333534
9481582511086326
10112310321002332
11328705a3311072
121071a5ab320250
134a88a829c40ab
141da3bc4574c8c
15ceb6b1018c8c
hex662548c9b75c

112310321002332 has 96 divisors (see below), whose sum is σ = 277555356836352. Its totient is φ = 35271728633856.

The previous prime is 112310321002283. The next prime is 112310321002387. The reversal of 112310321002332 is 233200123013211.

It is a super-2 number, since 2×1123103210023322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230851528 + ... + 231337520.

It is an arithmetic number, because the mean of its divisors is an integer number (2891201633712).

Almost surely, 2112310321002332 is an apocalyptic number.

112310321002332 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 112310321002332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138777678418176).

112310321002332 is an abundant number, since it is smaller than the sum of its proper divisors (165245035834020).

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

112310321002332 is a wasteful number, since it uses less digits than its factorization.

112310321002332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498587 (or 498585 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 112310321002332 its reverse (233200123013211), we get a palindrome (345510444015543).

The spelling of 112310321002332 in words is "one hundred twelve trillion, three hundred ten billion, three hundred twenty-one million, two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 67 69 92 134 138 201 268 276 402 804 1541 3082 4623 6164 9246 12497 18492 24994 37491 49988 74982 149964 287431 485993 574862 837299 862293 971986 1149724 1457979 1674598 1724586 1943972 2511897 2915958 3349196 3449172 5023794 5831916 10047588 11177839 19257877 22355678 32561531 33533517 38515754 44711356 57773631 65123062 67067034 77031508 97684593 115547262 130246124 134134068 195369186 231094524 390738372 748915213 1497830426 2246745639 2995660852 4493491278 6073454521 8986982556 12146909042 18220363563 24293818084 36440727126 72881454252 139689453983 279378907966 406921452907 419068361949 558757815932 813842905814 838136723898 1220764358721 1627685811628 1676273447796 2441528717442 4883057434884 9359193416861 18718386833722 28077580250583 37436773667444 56155160501166 112310321002332