Search a number
-
+
131836490331 = 37213193630959
BaseRepresentation
bin111101011001000010…
…0010011001001011011
3110121021220121121202020
41322302010103021123
54130000120142311
6140322001305523
712345013451400
oct1726204231133
9417256547666
10131836490331
1150a03297537
12216739352a3
13c5804ccac0
1465493602a7
1536691c8c06
hex1eb211325b

131836490331 has 48 divisors (see below), whose sum is σ = 231800486400. Its totient is φ = 65880101952.

The previous prime is 131836490309. The next prime is 131836490333. The reversal of 131836490331 is 133094638131.

It is a happy number.

It is not a de Polignac number, because 131836490331 - 225 = 131802935899 is a prime.

It is a super-2 number, since 2×1318364903312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131836490333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1779171 + ... + 1851788.

It is an arithmetic number, because the mean of its divisors is an integer number (4829176800).

Almost surely, 2131836490331 is an apocalyptic number.

131836490331 is a deficient number, since it is larger than the sum of its proper divisors (99963996069).

131836490331 is a wasteful number, since it uses less digits than its factorization.

131836490331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631008 (or 3631001 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 131836490331 in words is "one hundred thirty-one billion, eight hundred thirty-six million, four hundred ninety thousand, three hundred thirty-one".

Divisors: 1 3 7 13 19 21 39 49 57 91 133 147 247 273 399 637 741 931 1729 1911 2793 5187 12103 36309 3630959 10892877 25416713 47202467 68988221 76250139 141607401 177916991 206964663 330417269 482917547 533750973 896846873 991251807 1448752641 2312920883 2690540619 3380422829 6277928111 6938762649 10141268487 18833784333 43945496777 131836490331