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314311311 = 32331105509
BaseRepresentation
bin10010101111000…
…000001010001111
3210220102200001200
4102233000022033
51120430430221
651104440543
710534413336
oct2257001217
9726380050
10314311311
11151469816
1289319153
135016bb32
142da5ad1d
151c8d9426
hex12bc028f

314311311 has 12 divisors (see below), whose sum is σ = 455381160. Its totient is φ = 208905840.

The previous prime is 314311303. The next prime is 314311339. The reversal of 314311311 is 113113413.

It is not a de Polignac number, because 314311311 - 23 = 314311303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314311211) 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 11 ways as a sum of consecutive naturals, for example, 49776 + ... + 55733.

It is an arithmetic number, because the mean of its divisors is an integer number (37948430).

Almost surely, 2314311311 is an apocalyptic number.

314311311 is a deficient number, since it is larger than the sum of its proper divisors (141069849).

314311311 is a wasteful number, since it uses less digits than its factorization.

314311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105846 (or 105843 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 314311311 is about 17728.8271185660. The cubic root of 314311311 is about 679.9129869920.

Adding to 314311311 its reverse (113113413), we get a palindrome (427424724).

The spelling of 314311311 in words is "three hundred fourteen million, three hundred eleven thousand, three hundred eleven".

Divisors: 1 3 9 331 993 2979 105509 316527 949581 34923479 104770437 314311311