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12137053 = 53733137
BaseRepresentation
bin101110010011…
…001001011101
3211211121220111
4232103021131
511101341203
61112050021
7205106665
oct56231135
924747814
1012137053
11693a825
124093911
13268c4b6
14187d1a5
1510eb26d
hexb9325d

12137053 has 8 divisors (see below), whose sum is σ = 12539448. Its totient is φ = 11741184.

The previous prime is 12137039. The next prime is 12137087. The reversal of 12137053 is 35073121.

It can be written as a sum of positive squares in 4 ways, for example, as 7634169 + 4502884 = 2763^2 + 2122^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12137053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12137003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2301 + ... + 5437.

It is an arithmetic number, because the mean of its divisors is an integer number (1567431).

Almost surely, 212137053 is an apocalyptic number.

It is an amenable number.

12137053 is a deficient number, since it is larger than the sum of its proper divisors (402395).

12137053 is an equidigital number, since it uses as much as digits as its factorization.

12137053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 12137053 is about 3483.8273493387. The cubic root of 12137053 is about 229.8111430153.

The spelling of 12137053 in words is "twelve million, one hundred thirty-seven thousand, fifty-three".

Divisors: 1 53 73 3137 3869 166261 229001 12137053