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12133 = 111103
BaseRepresentation
bin10111101100101
3121122101
42331211
5342013
6132101
750242
oct27545
917571
1012133
119130
127031
1356a4
1445c9
1538dd
hex2f65

12133 has 4 divisors (see below), whose sum is σ = 13248. Its totient is φ = 11020.

The previous prime is 12119. The next prime is 12143. The reversal of 12133 is 33121.

Adding to 12133 its reverse (33121), we get a palindrome (45254).

It can be divided in two parts, 121 and 33, that multiplied together give a palindrome (3993).

12133 is nontrivially palindromic in base 9.

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, and also an emirpimes, since its reverse is a distinct semiprime: 33121 = 113011.

It is a cyclic number.

It is not a de Polignac number, because 12133 - 25 = 12101 is a prime.

It is a Duffinian number.

12133 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12113) 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, 541 + ... + 562.

It is an arithmetic number, because the mean of its divisors is an integer number (3312).

212133 is an apocalyptic number.

It is an amenable number.

12133 is a deficient number, since it is larger than the sum of its proper divisors (1115).

12133 is a wasteful number, since it uses less digits than its factorization.

12133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114.

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

The square root of 12133 is about 110.1498978665. The cubic root of 12133 is about 22.9785559423.

The spelling of 12133 in words is "twelve thousand, one hundred thirty-three".

Divisors: 1 11 1103 12133