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113131431 = 3373119309
BaseRepresentation
bin1101011111000…
…11111110100111
321212212200011000
412233203332213
5212430201211
615120444343
72542413150
oct657437647
9255780130
10113131431
1158950356
1231a796b3
131a59079a
141104c927
159dea656
hex6be3fa7

113131431 has 32 divisors (see below), whose sum is σ = 197734400. Its totient is φ = 62557920.

The previous prime is 113131429. The next prime is 113131441. The reversal of 113131431 is 134131311.

It is not a de Polignac number, because 113131431 - 21 = 113131429 is a prime.

It is a super-2 number, since 2×1131314312 = 25597441360215522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113131441) 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 31 ways as a sum of consecutive naturals, for example, 3796 + ... + 15513.

It is an arithmetic number, because the mean of its divisors is an integer number (6179200).

Almost surely, 2113131431 is an apocalyptic number.

113131431 is a deficient number, since it is larger than the sum of its proper divisors (84602969).

113131431 is a wasteful number, since it uses less digits than its factorization.

113131431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19356 (or 19350 counting only the distinct ones).

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

The square root of 113131431 is about 10636.3260104230. The cubic root of 113131431 is about 483.6461780680.

Adding to 113131431 its reverse (134131311), we get a palindrome (247262742).

The spelling of 113131431 in words is "one hundred thirteen million, one hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 31 63 93 189 217 279 651 837 1953 5859 19309 57927 135163 173781 405489 521343 598579 1216467 1795737 3649401 4190053 5387211 12570159 16161633 37710477 113131431