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31132131330 = 2352935784059
BaseRepresentation
bin11100111111100111…
…101010000000000010
32222100122121010121010
4130333213222000002
51002224311200310
622145113341350
72151324515166
oct347747520002
988318533533
1031132131330
1112226305063
12604a107856
132c21ab5bb1
14171494cca6
15c2320a320
hex73f9ea002

31132131330 has 32 divisors (see below), whose sum is σ = 77293569600. Its totient is φ = 8015628992.

The previous prime is 31132131323. The next prime is 31132131353. The reversal of 31132131330 is 3313123113.

It is a super-2 number, since 2×311321313302 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31132131297 and 31132131306.

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 15 ways as a sum of consecutive naturals, for example, 17891160 + ... + 17892899.

It is an arithmetic number, because the mean of its divisors is an integer number (2415424050).

Almost surely, 231132131330 is an apocalyptic number.

31132131330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31132131330 is an abundant number, since it is smaller than the sum of its proper divisors (46161438270).

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

31132131330 is a wasteful number, since it uses less digits than its factorization.

31132131330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35784098.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 31132131330 its reverse (3313123113), we get a palindrome (34445254443).

The spelling of 31132131330 in words is "thirty-one billion, one hundred thirty-two million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 35784059 71568118 107352177 178920295 214704354 357840590 536760885 1037737711 1073521770 2075475422 3113213133 5188688555 6226426266 10377377110 15566065665 31132131330