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313030112 = 25172572239
BaseRepresentation
bin10010101010000…
…111010111100000
3210211000120120212
4102222013113200
51120113430422
651021153252
710520466143
oct2252072740
9724016525
10313030112
1115077417a
12889bb828
134cb10925
142d80605a
151c7349e2
hex12a875e0

313030112 has 48 divisors (see below), whose sum is σ = 655361280. Its totient is φ = 146669568.

The previous prime is 313030103. The next prime is 313030127. The reversal of 313030112 is 211030313.

313030112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 138689 + ... + 140927.

It is an arithmetic number, because the mean of its divisors is an integer number (13653360).

Almost surely, 2313030112 is an apocalyptic number.

313030112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313030112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327680640).

313030112 is an abundant number, since it is smaller than the sum of its proper divisors (342331168).

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

313030112 is a wasteful number, since it uses less digits than its factorization.

313030112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 313030112 is about 17692.6570079228. The cubic root of 313030112 is about 678.9879061385.

Adding to 313030112 its reverse (211030313), we get a palindrome (524060425).

It can be divided in two parts, 3130301 and 12, that added together give a palindrome (3130313).

The spelling of 313030112 in words is "three hundred thirteen million, thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 257 272 514 544 1028 2056 2239 4112 4369 4478 8224 8738 8956 17476 17912 34952 35824 38063 69904 71648 76126 139808 152252 304504 575423 609008 1150846 1218016 2301692 4603384 9206768 9782191 18413536 19564382 39128764 78257528 156515056 313030112