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31131312132 = 22325114277243
BaseRepresentation
bin11100111111100100…
…100010000000000100
32222100121001111212110
4130333210202000010
51002224103442012
622145044021020
72151314533644
oct347744420004
988317044773
1031131312132
11122258a5638
126049991770
132c2188a06b
1417147b8524
15c230e773c
hex73f922004

31131312132 has 48 divisors (see below), whose sum is σ = 72990312192. Its totient is φ = 10327092000.

The previous prime is 31131312131. The next prime is 31131312143. The reversal of 31131312132 is 23121313113.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31131312099 and 31131312108.

It is not an unprimeable number, because it can be changed into a prime (31131312131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4294503 + ... + 4301745.

It is an arithmetic number, because the mean of its divisors is an integer number (1520631504).

Almost surely, 231131312132 is an apocalyptic number.

It is an amenable number.

31131312132 is an abundant number, since it is smaller than the sum of its proper divisors (41859000060).

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

31131312132 is a wasteful number, since it uses less digits than its factorization.

31131312132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8928 (or 8926 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

Adding to 31131312132 its reverse (23121313113), we get a palindrome (54252625245).

The spelling of 31131312132 in words is "thirty-one billion, one hundred thirty-one million, three hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 251 502 753 1004 1427 1506 2854 3012 4281 5708 7243 8562 14486 17124 21729 28972 43458 86916 358177 716354 1074531 1432708 1817993 2149062 3635986 4298124 5453979 7271972 10335761 10907958 20671522 21815916 31007283 41343044 62014566 124029132 2594276011 5188552022 7782828033 10377104044 15565656066 31131312132