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313361333 = 7313731333
BaseRepresentation
bin10010101011011…
…000001110110101
3210211122101221022
4102223120032311
51120210030313
651032230525
710523345615
oct2253301665
9724571838
10313361333
1115098000a
1288b3b445
134cbc860c
142d890a45
151c79cc08
hex12ad83b5

313361333 has 8 divisors (see below), whose sum is σ = 319982808. Its totient is φ = 306802944.

The previous prime is 313361311. The next prime is 313361351. The reversal of 313361333 is 333163313.

It can be written as a sum of positive squares in 4 ways, for example, as 177475684 + 135885649 = 13322^2 + 11657^2 .

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 313361333 - 214 = 313344949 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313361303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5666 + ... + 25667.

It is an arithmetic number, because the mean of its divisors is an integer number (39997851).

Almost surely, 2313361333 is an apocalyptic number.

It is an amenable number.

313361333 is a deficient number, since it is larger than the sum of its proper divisors (6621475).

313361333 is a wasteful number, since it uses less digits than its factorization.

313361333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31543.

The product of its digits is 4374, while the sum is 26.

The square root of 313361333 is about 17702.0149418082. The cubic root of 313361333 is about 679.2273035318.

The spelling of 313361333 in words is "three hundred thirteen million, three hundred sixty-one thousand, three hundred thirty-three".

Divisors: 1 73 137 10001 31333 2287309 4292621 313361333