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112813359129 = 321119592
BaseRepresentation
bin110100100010000110…
…0110100000000011001
3101210012011020102120100
41221010030310000121
53322020204443004
6123454205450013
711102422505442
oct1510414640031
9353164212510
10112813359129
11439312224a9
1219a44b70909
13a83b323953
145662ac42c9
152e040c0739
hex1a44334019

112813359129 has 9 divisors (see below), whose sum is σ = 162954085333. Its totient is φ = 75208234332.

The previous prime is 112813359107. The next prime is 112813359179. The reversal of 112813359129 is 921953318211.

The square root of 112813359129 is 335877.

It is a perfect power (a square), and thus also a powerful number.

112813359129 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 1 + 33 + 591 + 29 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 112813359129 - 29 = 112813358617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112813359179) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 951652 + ... + 1063610.

Almost surely, 2112813359129 is an apocalyptic number.

112813359129 is the 335877-th square number.

112813359129 is the 167939-th centered octagonal number.

It is an amenable number.

112813359129 is a deficient number, since it is larger than the sum of its proper divisors (50140726204).

112813359129 is an frugal number, since it uses more digits than its factorization.

112813359129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223924 (or 111962 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The spelling of 112813359129 in words is "one hundred twelve billion, eight hundred thirteen million, three hundred fifty-nine thousand, one hundred twenty-nine".

Divisors: 1 3 9 111959 335877 1007631 12534817681 37604453043 112813359129