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113413133331 = 32231216145053
BaseRepresentation
bin110100110011111110…
…0110001010000010011
3101211201221211010002200
41221213330301100103
53324232230231311
6124033513014243
711123324504331
oct1514774612023
9354657733080
10113413133331
1144109836763
1219b919b4383
13a905670824
1456bc60cb51
152e3ba96556
hex1a67f31413

113413133331 has 24 divisors (see below), whose sum is σ = 170959385376. Its totient is φ = 72313866240.

The previous prime is 113413133299. The next prime is 113413133333. The reversal of 113413133331 is 133331314311.

113413133331 is a `hidden beast` number, since 1 + 1 + 341 + 313 + 3 + 3 + 3 + 1 = 666.

It is not a de Polignac number, because 113413133331 - 25 = 113413133299 is a prime.

It is a super-2 number, since 2×1134131333312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113413133295 and 113413133304.

It is not an unprimeable number, because it can be changed into a prime (113413133333) 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 23 ways as a sum of consecutive naturals, for example, 2494801 + ... + 2539853.

It is an arithmetic number, because the mean of its divisors is an integer number (7123307724).

Almost surely, 2113413133331 is an apocalyptic number.

113413133331 is a deficient number, since it is larger than the sum of its proper divisors (57546252045).

113413133331 is a wasteful number, since it uses less digits than its factorization.

113413133331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57243 (or 57240 counting only the distinct ones).

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

Adding to 113413133331 its reverse (133331314311), we get a palindrome (246744447642).

The spelling of 113413133331 in words is "one hundred thirteen billion, four hundred thirteen million, one hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 3 9 23 69 207 12161 36483 45053 109449 135159 279703 405477 839109 1036219 2517327 3108657 9325971 547889533 1643668599 4931005797 12601459259 37804377777 113413133331