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3131472316 = 227293124013
BaseRepresentation
bin1011101010100110…
…0111100110111100
322002020102021110011
42322221213212330
522403124103231
61234422153004
7140413034620
oct27251474674
98066367404
103131472316
1113676a8555
12734882764
133ab9c71cb
14219c6b180
15134db39b1
hexbaa679bc

3131472316 has 72 divisors (see below), whose sum is σ = 6696315360. Its totient is φ = 1253669760.

The previous prime is 3131472263. The next prime is 3131472317. The reversal of 3131472316 is 6132741313.

It is a super-2 number, since 2×31314723162 = 19612237731748807712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131472317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 778326 + ... + 782338.

It is an arithmetic number, because the mean of its divisors is an integer number (93004380).

Almost surely, 23131472316 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 3131472316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348157680).

3131472316 is an abundant number, since it is smaller than the sum of its proper divisors (3564843044).

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

3131472316 is a wasteful number, since it uses less digits than its factorization.

3131472316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115 (or 4082 counting only the distinct ones).

The product of its digits is 9072, while the sum is 31.

The square root of 3131472316 is about 55959.5596480172. The cubic root of 3131472316 is about 1463.0175153059.

The spelling of 3131472316 in words is "three billion, one hundred thirty-one million, four hundred seventy-two thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 28 29 31 58 62 116 124 203 217 406 434 812 868 899 961 1798 1922 3596 3844 4013 6293 6727 8026 12586 13454 16052 25172 26908 27869 28091 55738 56182 111476 112364 116377 124403 195083 232754 248806 390166 465508 497612 780332 814639 870821 1629278 1741642 3258556 3483284 3607687 3856493 7215374 7712986 14430748 15425972 25253809 26995451 50507618 53990902 101015236 107981804 111838297 223676594 447353188 782868079 1565736158 3131472316