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12311 = 13947
BaseRepresentation
bin11000000010111
3121212222
43000113
5343221
6132555
750615
oct30027
917788
1012311
119282
12715b
1357b0
1446b5
1539ab
hex3017

12311 has 4 divisors (see below), whose sum is σ = 13272. Its totient is φ = 11352.

The previous prime is 12301. The next prime is 12323. The reversal of 12311 is 11321.

Adding to 12311 its reverse (11321), we get a palindrome (23632).

Subtracting from 12311 its reverse (11321), we obtain a triangular number (990 = T44).

It can be divided in two parts, 12 and 311, that added together give a palindrome (323).

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 12311 - 210 = 11287 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 461 + ... + 486.

It is an arithmetic number, because the mean of its divisors is an integer number (3318).

212311 is an apocalyptic number.

12311 is a deficient number, since it is larger than the sum of its proper divisors (961).

12311 is an equidigital number, since it uses as much as digits as its factorization.

12311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960.

The product of its digits is 6, while the sum is 8.

The square root of 12311 is about 110.9549458114. The cubic root of 12311 is about 23.0903816081.

The spelling of 12311 in words is "twelve thousand, three hundred eleven", and thus it is an iban number.

Divisors: 1 13 947 12311