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10659059137 is a prime number
BaseRepresentation
bin10011110110101010…
…00101010111000001
31000111211220022022001
421323111011113001
5133312204343022
64521404344001
7525066336106
oct117325052701
930454808261
1010659059137
11457a840991
122095845001
13100b3c39ac
147318c0aad
15425b94b27
hex27b5455c1

10659059137 has 2 divisors, whose sum is σ = 10659059138. Its totient is φ = 10659059136.

The previous prime is 10659059129. The next prime is 10659059149. The reversal of 10659059137 is 73195095601.

10659059137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9057138561 + 1601920576 = 95169^2 + 40024^2 .

It is an emirp because it is prime and its reverse (73195095601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10659059137 - 23 = 10659059129 is a prime.

It is a super-3 number, since 3×106590591373 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10659089137) 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, 5329529568 + 5329529569.

It is an arithmetic number, because the mean of its divisors is an integer number (5329529569).

Almost surely, 210659059137 is an apocalyptic number.

It is an amenable number.

10659059137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10659059137 is an equidigital number, since it uses as much as digits as its factorization.

10659059137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 255150, while the sum is 46.

The spelling of 10659059137 in words is "ten billion, six hundred fifty-nine million, fifty-nine thousand, one hundred thirty-seven".