Search a number
-
+
131320233009 = 32719365929983
BaseRepresentation
bin111101001001101001…
…0111011110000110001
3110112221221012000211200
41322103102323300301
54122420434424014
6140154440201413
712326144364120
oct1722322736061
9415857160750
10131320233009
1150768936799
122154aa69269
13c4ca574cb4
1464da975ab7
153638beda09
hex1e934bbc31

131320233009 has 48 divisors (see below), whose sum is σ = 228262195200. Its totient is φ = 71068853088.

The previous prime is 131320233007. The next prime is 131320233059. The reversal of 131320233009 is 900332023131.

131320233009 is a `hidden beast` number, since 1 + 3 + 1 + 320 + 2 + 330 + 0 + 9 = 666.

It is not a de Polignac number, because 131320233009 - 21 = 131320233007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131320233007) 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, 4364832 + ... + 4394814.

It is an arithmetic number, because the mean of its divisors is an integer number (4755462400).

Almost surely, 2131320233009 is an apocalyptic number.

131320233009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

131320233009 is a deficient number, since it is larger than the sum of its proper divisors (96941962191).

131320233009 is a wasteful number, since it uses less digits than its factorization.

131320233009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33674 (or 33671 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 131320233009 in words is "one hundred thirty-one billion, three hundred twenty million, two hundred thirty-three thousand, nine".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 3659 10977 25613 29983 32931 69521 76839 89949 208563 209881 230517 269847 486647 569677 625689 629643 1459941 1709031 1888929 3987739 4379823 5127093 11963217 35889651 109707797 329123391 767954579 987370173 2084448143 2303863737 6253344429 6911591211 14591137001 18760033287 43773411003 131320233009