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4113131112 = 233257126821
BaseRepresentation
bin1111010100101001…
…0110011001101000
3101121122120201011100
43311022112121220
531410430143422
61520050401400
7203633015616
oct36512263150
911548521140
104113131112
111820834312
12969590260
135071b1cbc
142b03a26b6
151911707ac
hexf5296668

4113131112 has 24 divisors (see below), whose sum is σ = 11139730290. Its totient is φ = 1371043680.

The previous prime is 4113131107. The next prime is 4113131117. The reversal of 4113131112 is 2111313114.

It is a happy number.

4113131112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4113131107) and next prime (4113131117).

It can be written as a sum of positive squares in only one way, i.e., 3227830596 + 885300516 = 56814^2 + 29754^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (4113131117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28563339 + ... + 28563482.

Almost surely, 24113131112 is an apocalyptic number.

It is an amenable number.

4113131112 is an abundant number, since it is smaller than the sum of its proper divisors (7026599178).

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

4113131112 is a wasteful number, since it uses less digits than its factorization.

4113131112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57126833 (or 57126826 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 4113131112 is about 64133.6971645952. The cubic root of 4113131112 is about 1602.2275109743.

Adding to 4113131112 its reverse (2111313114), we get a palindrome (6224444226).

The spelling of 4113131112 in words is "four billion, one hundred thirteen million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 57126821 114253642 171380463 228507284 342760926 457014568 514141389 685521852 1028282778 1371043704 2056565556 4113131112