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313122414 = 231123206273
BaseRepresentation
bin10010101010011…
…101111001101110
3210211012021012110
4102222131321232
51120124404124
651023144450
710521332223
oct2252357156
9724167173
10313122414
11150827560
1288a45126
134cb43947
142d82b94a
151c752029
hex12a9de6e

313122414 has 32 divisors (see below), whose sum is σ = 712882944. Its totient is φ = 90759680.

The previous prime is 313122401. The next prime is 313122427. The reversal of 313122414 is 414221313.

It is an interprime number because it is at equal distance from previous prime (313122401) and next prime (313122427).

It is a super-2 number, since 2×3131224142 = 196091292298374792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101619 + ... + 104654.

It is an arithmetic number, because the mean of its divisors is an integer number (22277592).

Almost surely, 2313122414 is an apocalyptic number.

313122414 is an abundant number, since it is smaller than the sum of its proper divisors (399760530).

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

313122414 is a wasteful number, since it uses less digits than its factorization.

313122414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206312.

The product of its digits is 576, while the sum is 21.

The square root of 313122414 is about 17695.2652989437. The cubic root of 313122414 is about 679.0546364417.

Adding to 313122414 its reverse (414221313), we get a palindrome (727343727).

The spelling of 313122414 in words is "three hundred thirteen million, one hundred twenty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 1518 206273 412546 618819 1237638 2269003 4538006 4744279 6807009 9488558 13614018 14232837 28465674 52187069 104374138 156561207 313122414