Search a number
-
+
151315946137 is a prime number
BaseRepresentation
bin1000110011101100100…
…0100001101010011001
3112110120110122111121101
42030323020201222121
54434343340234022
6153302533511401
713634515214626
oct2147310415231
9473513574541
10151315946137
11591999a7a44
12253ab4a2561
13113660ab605
14747646334d
153e093be627
hex233b221a99

151315946137 has 2 divisors, whose sum is σ = 151315946138. Its totient is φ = 151315946136.

The previous prime is 151315946107. The next prime is 151315946167. The reversal of 151315946137 is 731649513151.

It is a balanced prime because it is at equal distance from previous prime (151315946107) and next prime (151315946167).

It can be written as a sum of positive squares in only one way, i.e., 124849862281 + 26466083856 = 353341^2 + 162684^2 .

It is a cyclic number.

It is not a de Polignac number, because 151315946137 - 227 = 151181728409 is a prime.

It is not a weakly prime, because it can be changed into another prime (151315946107) 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, 75657973068 + 75657973069.

It is an arithmetic number, because the mean of its divisors is an integer number (75657973069).

Almost surely, 2151315946137 is an apocalyptic number.

It is an amenable number.

151315946137 is a deficient number, since it is larger than the sum of its proper divisors (1).

151315946137 is an equidigital number, since it uses as much as digits as its factorization.

151315946137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 340200, while the sum is 46.

The spelling of 151315946137 in words is "one hundred fifty-one billion, three hundred fifteen million, nine hundred forty-six thousand, one hundred thirty-seven".