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311313 = 3412531
BaseRepresentation
bin1001100000000010001
3120211001010
41030000101
534430223
610401133
72434422
oct1140021
9524033
10311313
111a2992
121301a9
13ab912
1481649
1562393
hex4c011

311313 has 8 divisors (see below), whose sum is σ = 425376. Its totient is φ = 202400.

The previous prime is 311303. The next prime is 311323. The reversal of 311313 is 313113.

Adding to 311313 its reverse (313113), we get a palindrome (624426).

It is an interprime number because it is at equal distance from previous prime (311303) and next prime (311323).

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 311313 - 29 = 310801 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1143 + ... + 1388.

It is an arithmetic number, because the mean of its divisors is an integer number (53172).

2311313 is an apocalyptic number.

It is an amenable number.

311313 is a deficient number, since it is larger than the sum of its proper divisors (114063).

311313 is a wasteful number, since it uses less digits than its factorization.

311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575.

The product of its digits is 27, while the sum is 12.

The square root of 311313 is about 557.9542992038. The cubic root of 311313 is about 67.7744110325.

The spelling of 311313 in words is "three hundred eleven thousand, three hundred thirteen".

Divisors: 1 3 41 123 2531 7593 103771 311313