Search a number
-
+
131376160643 = 71339711293221
BaseRepresentation
bin111101001011010100…
…0010001111110000011
3110120002211102110010112
41322112220101332003
54123024244120033
6140204155021535
712330423640340
oct1722650217603
9416084373115
10131376160643
1150797465a82
122156573a8ab
13c509027480
1465041737c7
15363da99c48
hex1e96a11f83

131376160643 has 32 divisors (see below), whose sum is σ = 162294975360. Its totient is φ = 103560145920.

The previous prime is 131376160571. The next prime is 131376160679. The reversal of 131376160643 is 346061673131.

It is a happy number.

It is not a de Polignac number, because 131376160643 - 226 = 131309051779 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131376160643.

It is not an unprimeable number, because it can be changed into a prime (131376160843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40785773 + ... + 40788993.

It is an arithmetic number, because the mean of its divisors is an integer number (5071717980).

Almost surely, 2131376160643 is an apocalyptic number.

131376160643 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131376160643 is a deficient number, since it is larger than the sum of its proper divisors (30918814717).

131376160643 is a wasteful number, since it uses less digits than its factorization.

131376160643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4767.

The product of its (nonzero) digits is 163296, while the sum is 41.

The spelling of 131376160643 in words is "one hundred thirty-one billion, three hundred seventy-six million, one hundred sixty thousand, six hundred forty-three".

Divisors: 1 7 13 91 397 1129 2779 3221 5161 7903 14677 22547 36127 41873 102739 293111 448213 1278737 3137491 3636509 5826769 8951159 16623581 25455563 40787383 47274617 116365067 330922319 1443694073 10105858511 18768022949 131376160643