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13231313032 = 237418776571
BaseRepresentation
bin11000101001010010…
…11101000010001000
31021011010001100021211
430110221131002020
5204044204004112
610024532542504
7645612206440
oct142451350210
937133040254
1013231313032
11567a805353
122693181a34
13132b2a0812
148d737d120
155268e40a7
hex314a5d088

13231313032 has 64 divisors (see below), whose sum is σ = 29081888640. Its totient is φ = 5525107200.

The previous prime is 13231312987. The next prime is 13231313041. The reversal of 13231313032 is 23031313231.

It is a junction number, because it is equal to n+sod(n) for n = 13231312994 and 13231313012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2010307 + ... + 2016877.

It is an arithmetic number, because the mean of its divisors is an integer number (454404510).

Almost surely, 213231313032 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 13231313032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14540944320).

13231313032 is an abundant number, since it is smaller than the sum of its proper divisors (15850575608).

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

13231313032 is a wasteful number, since it uses less digits than its factorization.

13231313032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7502 (or 7498 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13231313032 its reverse (23031313231), we get a palindrome (36262626263).

The spelling of 13231313032 in words is "thirteen billion, two hundred thirty-one million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 877 1148 1754 2296 3508 6139 6571 7016 12278 13142 24556 26284 35957 45997 49112 52568 71914 91994 143828 183988 251699 269411 287656 367976 503398 538822 1006796 1077644 1885877 2013592 2155288 3771754 5762767 7543508 11525534 15087016 23051068 40339369 46102136 80678738 161357476 236273447 322714952 472546894 945093788 1653914129 1890187576 3307828258 6615656516 13231313032