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313312251 = 3714919631
BaseRepresentation
bin10010101011001…
…100001111111011
3210211112220121110
4102223030033323
51120201443001
651031211403
710523052540
oct2253141773
9724486543
10313312251
1115094714a
1288b16b63
134cbac185
142d87abc7
151c78d3d6
hex12acc3fb

313312251 has 8 divisors (see below), whose sum is σ = 477428224. Its totient is φ = 179035560.

The previous prime is 313312249. The next prime is 313312271. The reversal of 313312251 is 152213313.

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

It is not a de Polignac number, because 313312251 - 21 = 313312249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 14919631 = 313312251 / (3 + 1 + 3 + 3 + 1 + 2 + 2 + 5 + 1).

It is not an unprimeable number, because it can be changed into a prime (313312271) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7459795 + ... + 7459836.

It is an arithmetic number, because the mean of its divisors is an integer number (59678528).

Almost surely, 2313312251 is an apocalyptic number.

313312251 is a deficient number, since it is larger than the sum of its proper divisors (164115973).

313312251 is a wasteful number, since it uses less digits than its factorization.

313312251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14919641.

The product of its digits is 540, while the sum is 21.

The square root of 313312251 is about 17700.6285481618. The cubic root of 313312251 is about 679.1918390677.

Adding to 313312251 its reverse (152213313), we get a palindrome (465525564).

The spelling of 313312251 in words is "three hundred thirteen million, three hundred twelve thousand, two hundred fifty-one".

Divisors: 1 3 7 21 14919631 44758893 104437417 313312251