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10589343137 is a prime number
BaseRepresentation
bin10011101110010110…
…01000110110100001
31000022222201100220222
421313023020312201
5133141332440022
64510434212425
7523261634342
oct116713106641
930288640828
1010589343137
11454445425a
122076424115
13cc9b24519
147265340c9
1541e9c3242
hex2772c8da1

10589343137 has 2 divisors, whose sum is σ = 10589343138. Its totient is φ = 10589343136.

The previous prime is 10589343119. The next prime is 10589343173. The reversal of 10589343137 is 73134398501.

10589343137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (10589343173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9471377041 + 1117966096 = 97321^2 + 33436^2 .

It is an emirp because it is prime and its reverse (73134398501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10589343137 - 226 = 10522234273 is a prime.

It is a super-2 number, since 2×105893431372 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10589343337) 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, 5294671568 + 5294671569.

It is an arithmetic number, because the mean of its divisors is an integer number (5294671569).

Almost surely, 210589343137 is an apocalyptic number.

It is an amenable number.

10589343137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10589343137 is an equidigital number, since it uses as much as digits as its factorization.

10589343137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 272160, while the sum is 44.

The spelling of 10589343137 in words is "ten billion, five hundred eighty-nine million, three hundred forty-three thousand, one hundred thirty-seven".