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313122330 = 23254184857
BaseRepresentation
bin10010101010011…
…101111000011010
3210211012021002100
4102222131320122
51120124403310
651023144230
710521332043
oct2252357032
9724167070
10313122330
11150827494
1288a45076
134cb438b1
142d82b8ca
151c751ec0
hex12a9de1a

313122330 has 48 divisors (see below), whose sum is σ = 833984424. Its totient is φ = 81461760.

The previous prime is 313122317. The next prime is 313122349. The reversal of 313122330 is 33221313.

313122330 is a `hidden beast` number, since 313 + 1 + 22 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 136258929 + 176863401 = 11673^2 + 13299^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38739 + ... + 46118.

Almost surely, 2313122330 is an apocalyptic number.

313122330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

313122330 is an abundant number, since it is smaller than the sum of its proper divisors (520862094).

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

313122330 is a wasteful number, since it uses less digits than its factorization.

313122330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84911 (or 84908 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 313122330 is about 17695.2629254272. The cubic root of 313122330 is about 679.0545757193.

Adding to 313122330 its reverse (33221313), we get a palindrome (346343643).

It can be divided in two parts, 3131223 and 30, that added together give a triangular number (3131253 = T2502).

The spelling of 313122330 in words is "three hundred thirteen million, one hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 84857 169714 254571 424285 509142 763713 848570 1272855 1527426 2545710 3479137 3818565 6958274 7637130 10437411 17395685 20874822 31312233 34791370 52187055 62624466 104374110 156561165 313122330