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13003937 is a prime number
BaseRepresentation
bin110001100110…
…110010100001
3220110200001022
4301212302201
511312111222
61142415225
7215350232
oct61466241
926420038
1013003937
117382061
124431515
132903c4b
141a27089
15121d042
hexc66ca1

13003937 has 2 divisors, whose sum is σ = 13003938. Its totient is φ = 13003936.

The previous prime is 13003889. The next prime is 13003951. The reversal of 13003937 is 73930031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12645136 + 358801 = 3556^2 + 599^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13003937 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13003957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6501968 + 6501969.

It is an arithmetic number, because the mean of its divisors is an integer number (6501969).

Almost surely, 213003937 is an apocalyptic number.

It is an amenable number.

13003937 is a deficient number, since it is larger than the sum of its proper divisors (1).

13003937 is an equidigital number, since it uses as much as digits as its factorization.

13003937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1701, while the sum is 26.

The square root of 13003937 is about 3606.0971978026. The cubic root of 13003937 is about 235.1572027985.

Adding to 13003937 its reverse (73930031), we get a palindrome (86933968).

The spelling of 13003937 in words is "thirteen million, three thousand, nine hundred thirty-seven".