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313606313 = 10115120563
BaseRepresentation
bin10010101100010…
…100000010101001
3210212002211222122
4102230110002221
51120240400223
651041401025
710525416056
oct2254240251
9725084878
10313606313
11151028079
1289039175
134cc82c87
142d91602d
151c7ea5c8
hex12b140a9

313606313 has 8 divisors (see below), whose sum is σ = 318824256. Its totient is φ = 308430000.

The previous prime is 313606291. The next prime is 313606331.

313606313 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 313606313 - 210 = 313605289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313606373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4970 + ... + 25532.

It is an arithmetic number, because the mean of its divisors is an integer number (39853032).

Almost surely, 2313606313 is an apocalyptic number.

It is an amenable number.

313606313 is a deficient number, since it is larger than the sum of its proper divisors (5217943).

313606313 is a wasteful number, since it uses less digits than its factorization.

313606313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20815.

The product of its (nonzero) digits is 2916, while the sum is 26.

The square root of 313606313 is about 17708.9331412144. The cubic root of 313606313 is about 679.4042598057.

It can be divided in two parts, 31360 and 6313, that added together give a palindrome (37673).

The spelling of 313606313 in words is "three hundred thirteen million, six hundred six thousand, three hundred thirteen".

Divisors: 1 101 151 15251 20563 2076863 3105013 313606313