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131113322424 = 23327260145481
BaseRepresentation
bin111101000011011110…
…1101000011110111000
3110112102111211212212200
41322012331220132320
54122010002304144
6140122125310200
712321052565220
oct1720675503670
9415374755780
10131113322424
1150672063807
12214b1705360
13c49673b3b6
1464bb2b5080
15362597bc69
hex1e86f687b8

131113322424 has 48 divisors (see below), whose sum is σ = 405826951920. Its totient is φ = 37460949120.

The previous prime is 131113322413. The next prime is 131113322429. The reversal of 131113322424 is 424223311131.

131113322424 is a `hidden beast` number, since 1 + 311 + 1 + 3 + 322 + 4 + 24 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131113322429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130072237 + ... + 130073244.

It is an arithmetic number, because the mean of its divisors is an integer number (8454728165).

Almost surely, 2131113322424 is an apocalyptic number.

131113322424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131113322424 is an abundant number, since it is smaller than the sum of its proper divisors (274713629496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131113322424 is a wasteful number, since it uses less digits than its factorization.

131113322424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260145500 (or 260145493 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 131113322424 its reverse (424223311131), we get a palindrome (555336633555).

The spelling of 131113322424 in words is "one hundred thirty-one billion, one hundred thirteen million, three hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 260145481 520290962 780436443 1040581924 1560872886 1821018367 2081163848 2341309329 3121745772 3642036734 4682618658 5463055101 6243491544 7284073468 9365237316 10926110202 14568146936 16389165303 18730474632 21852220404 32778330606 43704440808 65556661212 131113322424