Search a number
-
+
30134631137 = 1317138198737
BaseRepresentation
bin11100000100001010…
…011111101011100001
32212210010121212120112
4130010022133223201
5443203431144022
621502121421105
72114523065312
oct340412375341
985703555515
1030134631137
1111864239436
125a1003a795
132ac32427b0
14165c292609
15bb586e8e2
hex70429fae1

30134631137 has 16 divisors (see below), whose sum is σ = 34386890832. Its totient is φ = 26161090560.

The previous prime is 30134631101. The next prime is 30134631139. The reversal of 30134631137 is 73113643103.

It can be written as a sum of positive squares in 8 ways, for example, as 4234235041 + 25900396096 = 65071^2 + 160936^2 .

It is not a de Polignac number, because 30134631137 - 212 = 30134627041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30134631139) 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 in 15 ways as a sum of consecutive naturals, for example, 255833 + ... + 354569.

It is an arithmetic number, because the mean of its divisors is an integer number (2149180677).

Almost surely, 230134631137 is an apocalyptic number.

It is an amenable number.

30134631137 is a deficient number, since it is larger than the sum of its proper divisors (4252259695).

30134631137 is a wasteful number, since it uses less digits than its factorization.

30134631137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100148.

The product of its (nonzero) digits is 13608, while the sum is 32.

The spelling of 30134631137 in words is "thirty billion, one hundred thirty-four million, six hundred thirty-one thousand, one hundred thirty-seven".

Divisors: 1 13 17 221 1381 17953 23477 98737 305201 1283581 1678529 21820877 136355797 1772625361 2318048549 30134631137