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313325012 = 227311131597
BaseRepresentation
bin10010101011001…
…111010111010100
3210211120120010002
4102223033113110
51120202400022
651031350432
710523135000
oct2253172724
9724516102
10313325012
111509557a0
1288b22418
134cbb4c20
142d881700
151c792092
hex12acf5d4

313325012 has 96 divisors (see below), whose sum is σ = 751699200. Its totient is φ = 112613760.

The previous prime is 313324951. The next prime is 313325017. The reversal of 313325012 is 210523313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313325017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195398 + ... + 196994.

It is an arithmetic number, because the mean of its divisors is an integer number (7830200).

Almost surely, 2313325012 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 313325012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375849600).

313325012 is an abundant number, since it is smaller than the sum of its proper divisors (438374188).

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

313325012 is a wasteful number, since it uses less digits than its factorization.

313325012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 313325012 is about 17700.9890119168. The cubic root of 313325012 is about 679.2010599534.

Adding to 313325012 its reverse (210523313), we get a palindrome (523848325).

The spelling of 313325012 in words is "three hundred thirteen million, three hundred twenty-five thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 343 364 539 572 637 686 1001 1078 1274 1372 1597 2002 2156 2548 3194 3773 4004 4459 6388 7007 7546 8918 11179 14014 15092 17567 17836 20761 22358 28028 35134 41522 44716 49049 70268 78253 83044 98098 122969 145327 156506 196196 228371 245938 290654 313012 456742 491876 547771 581308 860783 913484 1017289 1095542 1598597 1721566 2034578 2191084 3197194 3443132 4069156 6025481 6394388 7121023 11190179 12050962 14242046 22380358 24101924 28484092 44760716 78331253 156662506 313325012