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2127671535137 is a prime number
BaseRepresentation
bin11110111101100011000…
…110110010011000100001
321112101220002100211021112
4132331203012302120201
5234324432403111022
64305234441033105
7306501453435101
oct36754306623041
97471802324245
102127671535137
11750382127895
122a4434a85795
1312583bc08735
1474da09db201
153a52b6ea8e2
hex1ef631b2621

2127671535137 has 2 divisors, whose sum is σ = 2127671535138. Its totient is φ = 2127671535136.

The previous prime is 2127671535047. The next prime is 2127671535151. The reversal of 2127671535137 is 7315351767212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2061992609296 + 65678925841 = 1435964^2 + 256279^2 .

It is a cyclic number.

It is not a de Polignac number, because 2127671535137 - 28 = 2127671534881 is a prime.

It is a super-2 number, since 2×21276715351372 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2127671535337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1063835767568 + 1063835767569.

It is an arithmetic number, because the mean of its divisors is an integer number (1063835767569).

Almost surely, 22127671535137 is an apocalyptic number.

It is an amenable number.

2127671535137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2127671535137 is an equidigital number, since it uses as much as digits as its factorization.

2127671535137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1852200, while the sum is 50.

The spelling of 2127671535137 in words is "two trillion, one hundred twenty-seven billion, six hundred seventy-one million, five hundred thirty-five thousand, one hundred thirty-seven".