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13001237 is a prime number
BaseRepresentation
bin110001100110…
…001000010101
3220110112100022
4301212020111
511312014422
61142354525
7215336324
oct61461025
926415308
1013001237
117380027
12442ba45
132902952
141a260bb
15121c342
hexc66215

13001237 has 2 divisors, whose sum is σ = 13001238. Its totient is φ = 13001236.

The previous prime is 13001213. The next prime is 13001239. The reversal of 13001237 is 73210031.

13001237 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8532241 + 4468996 = 2921^2 + 2114^2 .

It is a cyclic number.

It is not a de Polignac number, because 13001237 - 26 = 13001173 is a prime.

Together with 13001239, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13001239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500618 + 6500619.

It is an arithmetic number, because the mean of its divisors is an integer number (6500619).

Almost surely, 213001237 is an apocalyptic number.

It is an amenable number.

13001237 is a deficient number, since it is larger than the sum of its proper divisors (1).

13001237 is an equidigital number, since it uses as much as digits as its factorization.

13001237 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 13001237 is about 3605.7228124192. The cubic root of 13001237 is about 235.1409264868.

Adding to 13001237 its reverse (73210031), we get a palindrome (86211268).

The spelling of 13001237 in words is "thirteen million, one thousand, two hundred thirty-seven".