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113825106 = 2326323617
BaseRepresentation
bin1101100100011…
…01010101010010
321221011220200200
412302031111102
5213114400411
615143400030
72551332423
oct662152522
9257156620
10113825106
115928453a
1232153016
131a774445
141118d64a
159ed5e56
hex6c8d552

113825106 has 12 divisors (see below), whose sum is σ = 246621102. Its totient is φ = 37941696.

The previous prime is 113825099. The next prime is 113825111. The reversal of 113825106 is 601528311.

It can be written as a sum of positive squares in only one way, i.e., 63059481 + 50765625 = 7941^2 + 7125^2 .

It is a super-2 number, since 2×1138251062 = 25912309511822472, 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 113825106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3161791 + ... + 3161826.

Almost surely, 2113825106 is an apocalyptic number.

113825106 is an abundant number, since it is smaller than the sum of its proper divisors (132795996).

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

113825106 is a wasteful number, since it uses less digits than its factorization.

113825106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6323625 (or 6323622 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 113825106 is about 10668.8849464225. The cubic root of 113825106 is about 484.6326704573.

It can be divided in two parts, 1138 and 25106, that added together give a square (26244 = 1622).

The spelling of 113825106 in words is "one hundred thirteen million, eight hundred twenty-five thousand, one hundred six".

Divisors: 1 2 3 6 9 18 6323617 12647234 18970851 37941702 56912553 113825106