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113011431 = 3133778317
BaseRepresentation
bin1101011110001…
…10101011100111
321212122120112120
412233012223213
5212412331211
615114121023
72541403251
oct657065347
9255576476
10113011431
1158879185
1231a20173
131a54ac90
141101acd1
159dc4d06
hex6bc6ae7

113011431 has 16 divisors (see below), whose sum is σ = 166660704. Its totient is φ = 67665024.

The previous prime is 113011429. The next prime is 113011433. The reversal of 113011431 is 134110311.

It is an interprime number because it is at equal distance from previous prime (113011429) and next prime (113011433).

It is not a de Polignac number, because 113011431 - 21 = 113011429 is a prime.

It is a super-2 number, since 2×1130114312 = 25543167073335522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113011431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113011433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37716 + ... + 40601.

It is an arithmetic number, because the mean of its divisors is an integer number (10416294).

Almost surely, 2113011431 is an apocalyptic number.

113011431 is a deficient number, since it is larger than the sum of its proper divisors (53649273).

113011431 is a wasteful number, since it uses less digits than its factorization.

113011431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78370.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 113011431 is about 10630.6834681501. The cubic root of 113011431 is about 483.4751142786.

Adding to 113011431 its reverse (134110311), we get a palindrome (247121742).

It can be divided in two parts, 1130 and 11431, that added together give a triangular number (12561 = T158).

The spelling of 113011431 in words is "one hundred thirteen million, eleven thousand, four hundred thirty-one".

Divisors: 1 3 13 37 39 111 481 1443 78317 234951 1018121 2897729 3054363 8693187 37670477 113011431