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12313 = 71759
BaseRepresentation
bin11000000011001
3121220001
43000121
5343223
6133001
750620
oct30031
917801
1012313
119284
127161
1357b2
1446b7
1539ad
hex3019

12313 has 4 divisors (see below), whose sum is σ = 14080. Its totient is φ = 10548.

The previous prime is 12301. The next prime is 12323. The reversal of 12313 is 31321.

Adding to 12313 its reverse (31321), we get a palindrome (43634).

It can be divided in two parts, 123 and 13, that added together give a triangular number (136 = T16).

12313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 12313 - 25 = 12281 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 12313.

It is not an unprimeable number, because it can be changed into a prime (12323) 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 3 ways as a sum of consecutive naturals, for example, 873 + ... + 886.

It is an arithmetic number, because the mean of its divisors is an integer number (3520).

It is an amenable number.

12313 is a deficient number, since it is larger than the sum of its proper divisors (1767).

12313 is an equidigital number, since it uses as much as digits as its factorization.

12313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766.

The product of its digits is 18, while the sum is 10.

The square root of 12313 is about 110.9639581125. The cubic root of 12313 is about 23.0916319334.

The spelling of 12313 in words is "twelve thousand, three hundred thirteen".

Divisors: 1 7 1759 12313