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313102314 = 23371316323
BaseRepresentation
bin10010101010011…
…000111111101010
3210211011020122000
4102222120333222
51120123233224
651022511430
710521216510
oct2252307752
9724136560
10313102314
11150813448
1288a35576
134cb37755
142d8244b0
151c74b0c9
hex12a98fea

313102314 has 64 divisors (see below), whose sum is σ = 801377280. Its totient is φ = 88760880.

The previous prime is 313102303. The next prime is 313102327. The reversal of 313102314 is 413201313.

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 31 ways as a sum of consecutive naturals, for example, 46357 + ... + 52679.

It is an arithmetic number, because the mean of its divisors is an integer number (12521520).

Almost surely, 2313102314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313102314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400688640).

313102314 is an abundant number, since it is smaller than the sum of its proper divisors (488274966).

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

313102314 is a wasteful number, since it uses less digits than its factorization.

313102314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6472 (or 6466 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 313102314 is about 17694.6973412941. The cubic root of 313102314 is about 679.0401061391.

Adding to 313102314 its reverse (413201313), we get a palindrome (726303627).

The spelling of 313102314 in words is "three hundred thirteen million, one hundred two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 131 189 262 378 393 786 917 1179 1834 2358 2751 3537 5502 6323 7074 8253 12646 16506 18969 24759 37938 44261 49518 56907 88522 113814 132783 170721 265566 341442 398349 796698 828313 1195047 1656626 2390094 2484939 4969878 5798191 7454817 11596382 14909634 17394573 22364451 34789146 44728902 52183719 104367438 156551157 313102314