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131113233405 = 3257111918111003
BaseRepresentation
bin111101000011011110…
…1010010101111111101
3110112102111200100202200
41322012331102233331
54122004441432110
6140122123342113
712321052044540
oct1720675225775
9415374610680
10131113233405
1150672002940
12214b1681939
13c496709a1b
1464bb290857
1536259606c0
hex1e86f52bfd

131113233405 has 192 divisors, whose sum is σ = 299928545280. Its totient is φ = 51330931200.

The previous prime is 131113233401. The next prime is 131113233421. The reversal of 131113233405 is 504332311131.

131113233405 is a `hidden beast` number, since 1 + 3 + 11 + 13 + 233 + 405 = 666.

It is not a de Polignac number, because 131113233405 - 22 = 131113233401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131113233401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11910634 + ... + 11921636.

It is an arithmetic number, because the mean of its divisors is an integer number (1562127840).

Almost surely, 2131113233405 is an apocalyptic number.

131113233405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131113233405 is an abundant number, since it is smaller than the sum of its proper divisors (168815311875).

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

131113233405 is a wasteful number, since it uses less digits than its factorization.

131113233405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11232 (or 11229 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 131113233405 its reverse (504332311131), we get a palindrome (635445544536).

The spelling of 131113233405 in words is "one hundred thirty-one billion, one hundred thirteen million, two hundred thirty-three thousand, four hundred five".