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313120321 = 23412231489
BaseRepresentation
bin10010101010011…
…101011001000001
3210211012011022221
4102222131121001
51120124322241
651023131041
710521323143
oct2252353101
9724164287
10313120321
11150825a28
1288a43a81
134cb429c7
142d82ac93
151c7515d1
hex12a9d641

313120321 has 16 divisors (see below), whose sum is σ = 336430080. Its totient is φ = 290695680.

The previous prime is 313120277. The next prime is 313120333. The reversal of 313120321 is 123021313.

It is a cyclic number.

It is not a de Polignac number, because 313120321 - 27 = 313120193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313120295 and 313120304.

It is not an unprimeable number, because it can be changed into a prime (313120351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209545 + ... + 211033.

It is an arithmetic number, because the mean of its divisors is an integer number (21026880).

Almost surely, 2313120321 is an apocalyptic number.

It is an amenable number.

313120321 is a deficient number, since it is larger than the sum of its proper divisors (23309759).

313120321 is a wasteful number, since it uses less digits than its factorization.

313120321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 313120321 is about 17695.2061587312. The cubic root of 313120321 is about 679.0531234397.

Adding to 313120321 its reverse (123021313), we get a palindrome (436141634).

The spelling of 313120321 in words is "three hundred thirteen million, one hundred twenty thousand, three hundred twenty-one".

Divisors: 1 23 41 223 943 1489 5129 9143 34247 61049 210289 332047 1404127 7637081 13613927 313120321