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BaseRepresentation
bin11001011000001
3122211020
43023001
5403433
6140053
752611
oct31301
918736
1012993
119842
127629
135bb6
144a41
153cb3
hex32c1

12993 has 8 divisors (see below), whose sum is σ = 17856. Its totient is φ = 8400.

The previous prime is 12983. The next prime is 13001. The reversal of 12993 is 39921.

It can be divided in two parts, 129 and 93, that added together give a palindrome (222).

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12993 - 210 = 11969 is a prime.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (12923) 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, 148 + ... + 218.

It is an arithmetic number, because the mean of its divisors is an integer number (2232).

212993 is an apocalyptic number.

It is an amenable number.

12993 is a deficient number, since it is larger than the sum of its proper divisors (4863).

12993 is an equidigital number, since it uses as much as digits as its factorization.

12993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135.

The product of its digits is 486, while the sum is 24.

The square root of 12993 is about 113.9868413458. The cubic root of 12993 is about 23.5091257752.

The spelling of 12993 in words is "twelve thousand, nine hundred ninety-three".

Divisors: 1 3 61 71 183 213 4331 12993