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113303324331 = 3267401468577
BaseRepresentation
bin110100110000101100…
…1111000011010101011
3101211110022012020110200
41221201121320122223
53324021122334311
6124014551243243
711120522236431
oct1514131703253
9354408166420
10113303324331
114406285561a
1219b61079523
13a8b89a43a2
1456abbc6d51
152e32105556
hex1a616786ab

113303324331 has 24 divisors (see below), whose sum is σ = 166517626704. Its totient is φ = 74222438400.

The previous prime is 113303324287. The next prime is 113303324347. The reversal of 113303324331 is 133423303311.

113303324331 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 0 + 3 + 324 + 331 = 666.

It is a de Polignac number, because none of the positive numbers 2k-113303324331 is a prime.

It is a super-2 number, since 2×1133033243312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113303324295 and 113303324304.

It is not an unprimeable number, because it can be changed into a prime (113303322331) 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, 7515 + ... + 476091.

It is an arithmetic number, because the mean of its divisors is an integer number (6938234446).

Almost surely, 2113303324331 is an apocalyptic number.

113303324331 is a deficient number, since it is larger than the sum of its proper divisors (53214302373).

113303324331 is a wasteful number, since it uses less digits than its factorization.

113303324331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469051 (or 469048 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 113303324331 its reverse (133423303311), we get a palindrome (246726627642).

The spelling of 113303324331 in words is "one hundred thirteen billion, three hundred three million, three hundred twenty-four thousand, three hundred thirty-one".

Divisors: 1 3 9 67 201 401 603 1203 3609 26867 80601 241803 468577 1405731 4217193 31394659 94183977 187899377 282551931 563698131 1691094393 12589258259 37767774777 113303324331