Search a number
-
+
313032321 = 32737134291
BaseRepresentation
bin10010101010000…
…111111010000001
3210211000200121200
4102222013322001
51120114013241
651021211413
710520505450
oct2252077201
9724020550
10313032321
111507758a8
1288a00b69
134cb11934
142d806b97
151c7354b6
hex12a87e81

313032321 has 24 divisors (see below), whose sum is σ = 530721984. Its totient is φ = 174039840.

The previous prime is 313032311. The next prime is 313032337. The reversal of 313032321 is 123230313.

313032321 is a `hidden beast` number, since 313 + 0 + 32 + 321 = 666.

It is not a de Polignac number, because 313032321 - 27 = 313032193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313032294 and 313032303.

It is not an unprimeable number, because it can be changed into a prime (313032301) 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 23 ways as a sum of consecutive naturals, for example, 64815 + ... + 69476.

It is an arithmetic number, because the mean of its divisors is an integer number (22113416).

Almost surely, 2313032321 is an apocalyptic number.

It is an amenable number.

313032321 is a deficient number, since it is larger than the sum of its proper divisors (217689663).

313032321 is a wasteful number, since it uses less digits than its factorization.

313032321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134341 (or 134338 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 313032321 is about 17692.7194348410. The cubic root of 313032321 is about 678.9895033020.

Adding to 313032321 its reverse (123230313), we get a palindrome (436262634).

The spelling of 313032321 in words is "three hundred thirteen million, thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 134291 402873 940037 1208619 2820111 4968767 8460333 14906301 34781369 44718903 104344107 313032321