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12313212032 = 271110980231
BaseRepresentation
bin10110111011110110…
…01011010010000000
31011210010110222111002
423131323023102000
5200204140241112
65353454511132
7614063401232
oct133573132200
934703428432
1012313212032
11524953a4a0
1224778054a8
13121300a1a4
1484b470252
154c0ede1c2
hex2ddecb480

12313212032 has 64 divisors (see below), whose sum is σ = 27006091200. Its totient is φ = 5545497600.

The previous prime is 12313212017. The next prime is 12313212071. The reversal of 12313212032 is 23021231321.

12313212032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12313211995 and 12313212013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113357 + ... + 193587.

It is an arithmetic number, because the mean of its divisors is an integer number (421970175).

Almost surely, 212313212032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12313212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13503045600).

12313212032 is an abundant number, since it is smaller than the sum of its proper divisors (14692879168).

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

12313212032 is a wasteful number, since it uses less digits than its factorization.

12313212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80365 (or 80353 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12313212032 its reverse (23021231321), we get a palindrome (35334443353).

The spelling of 12313212032 in words is "twelve billion, three hundred thirteen million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 109 128 176 218 352 436 704 872 1199 1408 1744 2398 3488 4796 6976 9592 13952 19184 38368 76736 80231 153472 160462 320924 641848 882541 1283696 1765082 2567392 3530164 5134784 7060328 8745179 10269568 14120656 17490358 28241312 34980716 56482624 69961432 96196969 112965248 139922864 192393938 279845728 384787876 559691456 769575752 1119382912 1539151504 3078303008 6156606016 12313212032