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131120012133 = 32115922448213
BaseRepresentation
bin111101000011101011…
…1001001101101100101
3110112102222102202102200
41322013113021231211
54122013210342013
6140122524525113
712321163466565
oct1720727115545
9415388382380
10131120012133
11506759128a0
12214b39b0799
13c497c412c6
1464bc136da5
15362634de73
hex1e875c9b65

131120012133 has 24 divisors (see below), whose sum is σ = 210115283040. Its totient is φ = 78119777760.

The previous prime is 131120012123. The next prime is 131120012137. The reversal of 131120012133 is 331210021131.

131120012133 is a `hidden beast` number, since 1 + 311 + 200 + 121 + 33 = 666.

It is not a de Polignac number, because 131120012133 - 28 = 131120011877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131120012137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11218266 + ... + 11229947.

It is an arithmetic number, because the mean of its divisors is an integer number (8754803460).

Almost surely, 2131120012133 is an apocalyptic number.

It is an amenable number.

131120012133 is a deficient number, since it is larger than the sum of its proper divisors (78995270907).

131120012133 is a wasteful number, since it uses less digits than its factorization.

131120012133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22448289 (or 22448286 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131120012133 its reverse (331210021131), we get a palindrome (462330033264).

The spelling of 131120012133 in words is "one hundred thirty-one billion, one hundred twenty million, twelve thousand, one hundred thirty-three".

Divisors: 1 3 9 11 33 59 99 177 531 649 1947 5841 22448213 67344639 202033917 246930343 740791029 1324444567 2222373087 3973333701 11920001103 14568890237 43706670711 131120012133