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3131133312 = 2738153993
BaseRepresentation
bin1011101010100001…
…0100110110000000
322002012210001102110
42322220110312000
522403032231222
61234411015320
7140410123356
oct27250246600
98065701373
103131133312
11136749688a
1273473a540
133ab908b08
14219bbd7d6
15134d4830c
hexbaa14d80

3131133312 has 32 divisors (see below), whose sum is σ = 8317073880. Its totient is φ = 1043710976.

The previous prime is 3131133293. The next prime is 3131133319. The reversal of 3131133312 is 2133311313.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131133319) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4076613 + ... + 4077380.

Almost surely, 23131133312 is an apocalyptic number.

3131133312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3131133312 is an abundant number, since it is smaller than the sum of its proper divisors (5185940568).

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

3131133312 is an equidigital number, since it uses as much as digits as its factorization.

3131133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8154010 (or 8153998 counting only the distinct ones).

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

The square root of 3131133312 is about 55956.5305572102. The cubic root of 3131133312 is about 1462.9647194069.

Adding to 3131133312 its reverse (2133311313), we get a palindrome (5264444625).

The spelling of 3131133312 in words is "three billion, one hundred thirty-one million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 8153993 16307986 24461979 32615972 48923958 65231944 97847916 130463888 195695832 260927776 391391664 521855552 782783328 1043711104 1565566656 3131133312