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3131313156 = 2232349249229
BaseRepresentation
bin1011101010100100…
…0000110000000100
322002020010012010100
42322221000300010
522403104010111
61234414524100
7140411502606
oct27251006004
98066105110
103131313156
1113675a9a14
12734806630
133ab96c92a
14219c29176
15134d81756
hexbaa40c04

3131313156 has 36 divisors (see below), whose sum is σ = 7937975500. Its totient is φ = 1040776128.

The previous prime is 3131313121. The next prime is 3131313169. The reversal of 3131313156 is 6513131313.

3131313156 is a `hidden beast` number, since 31 + 313 + 1 + 315 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2780874756 + 350438400 = 52734^2 + 18720^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112051 + ... + 137178.

Almost surely, 23131313156 is an apocalyptic number.

3131313156 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3131313156 is an abundant number, since it is smaller than the sum of its proper divisors (4806662344).

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

3131313156 is a wasteful number, since it uses less digits than its factorization.

3131313156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249588 (or 249583 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 3131313156 is about 55958.1375315512. The cubic root of 3131313156 is about 1462.9927284762.

Adding to 3131313156 its reverse (6513131313), we get a palindrome (9644444469).

The spelling of 3131313156 in words is "three billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 349 698 1047 1396 2094 3141 4188 6282 12564 249229 498458 747687 996916 1495374 2243061 2990748 4486122 8972244 86980921 173961842 260942763 347923684 521885526 782828289 1043771052 1565656578 3131313156