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12331 = 111959
BaseRepresentation
bin11000000101011
3121220201
43000223
5343311
6133031
750644
oct30053
917821
1012331
1192a0
127177
1357c7
1446cb
1539c1
hex302b

12331 has 8 divisors (see below), whose sum is σ = 14400. Its totient is φ = 10440.

The previous prime is 12329. The next prime is 12343. The reversal of 12331 is 13321.

12331 = T4 + T5 + ... + T41.

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 12331 - 21 = 12329 is a prime.

It is a super-2 number, since 2×123312 = 304107122, which contains 22 as substring.

It is a Duffinian number.

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 7 ways as a sum of consecutive naturals, for example, 180 + ... + 238.

It is an arithmetic number, because the mean of its divisors is an integer number (1800).

212331 is an apocalyptic number.

12331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12331 is a deficient number, since it is larger than the sum of its proper divisors (2069).

12331 is a wasteful number, since it uses less digits than its factorization.

12331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89.

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

The square root of 12331 is about 111.0450359089. The cubic root of 12331 is about 23.1028787727.

Subtracting from 12331 its sum of digits (10), we obtain a palindrome (12321).

Adding to 12331 its reverse (13321), we get a palindrome (25652).

Subtracting 12331 from its reverse (13321), we obtain a triangular number (990 = T44).

It can be divided in two parts, 12 and 331, that added together give a palindrome (343).

The spelling of 12331 in words is "twelve thousand, three hundred thirty-one".

Divisors: 1 11 19 59 209 649 1121 12331