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30857727137 is a prime number
BaseRepresentation
bin11100101111010000…
…111000110010100001
32221122112020221210212
4130233100320302201
51001144034232022
622101552103505
72141453232026
oct345720706241
987575227725
1030857727137
11120a5423136
125b92234b95
132ba9caa553
1416ca31d54d
15c090a53e2
hex72f438ca1

30857727137 has 2 divisors, whose sum is σ = 30857727138. Its totient is φ = 30857727136.

The previous prime is 30857727133. The next prime is 30857727169. The reversal of 30857727137 is 73172775803.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24484738576 + 6372988561 = 156476^2 + 79831^2 .

It is a cyclic number.

It is not a de Polignac number, because 30857727137 - 22 = 30857727133 is a prime.

It is not a weakly prime, because it can be changed into another prime (30857727133) 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, 15428863568 + 15428863569.

It is an arithmetic number, because the mean of its divisors is an integer number (15428863569).

Almost surely, 230857727137 is an apocalyptic number.

It is an amenable number.

30857727137 is a deficient number, since it is larger than the sum of its proper divisors (1).

30857727137 is an equidigital number, since it uses as much as digits as its factorization.

30857727137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728720, while the sum is 50.

The spelling of 30857727137 in words is "thirty billion, eight hundred fifty-seven million, seven hundred twenty-seven thousand, one hundred thirty-seven".