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15005132137 is a prime number
BaseRepresentation
bin11011111100110000…
…00010010101101001
31102201201210200122201
431332120002111221
5221212303212022
610520540020201
71040561342632
oct157630022551
942651720581
1015005132137
116400007956
122aa9231661
131551925018
14a24b9c889
155cc4ca127
hex37e602569

15005132137 has 2 divisors, whose sum is σ = 15005132138. Its totient is φ = 15005132136.

The previous prime is 15005132101. The next prime is 15005132159. The reversal of 15005132137 is 73123150051.

15005132137 is digitally balanced in base 2, 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., 14653344601 + 351787536 = 121051^2 + 18756^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-15005132137 is a prime.

It is not a weakly prime, because it can be changed into another prime (15005136137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7502566068 + 7502566069.

It is an arithmetic number, because the mean of its divisors is an integer number (7502566069).

Almost surely, 215005132137 is an apocalyptic number.

It is an amenable number.

15005132137 is a deficient number, since it is larger than the sum of its proper divisors (1).

15005132137 is an equidigital number, since it uses as much as digits as its factorization.

15005132137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3150, while the sum is 28.

Adding to 15005132137 its reverse (73123150051), we get a palindrome (88128282188).

The spelling of 15005132137 in words is "fifteen billion, five million, one hundred thirty-two thousand, one hundred thirty-seven".