Base | Representation |
---|---|
bin | 110100010011101001… |
… | …0000101110111000100 |
3 | 101201221100022222110100 |
4 | 1220213102011313010 |
5 | 3320022010004331 |
6 | 123334115124100 |
7 | 11054411656251 |
oct | 1504722056704 |
9 | 351840288410 |
10 | 112328203716 |
11 | 43702385013 |
12 | 1992a5a3630 |
13 | a791968541 |
14 | 56184b4428 |
15 | 2dc66daae6 |
hex | 1a27485dc4 |
112328203716 has 81 divisors (see below), whose sum is σ = 287830608429. Its totient is φ = 36936652032.
The previous prime is 112328203703. The next prime is 112328203717. The reversal of 112328203716 is 617302823211.
The square root of 112328203716 is 335154.
It is a perfect power (a square), and thus also a powerful number.
112328203716 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 282 + 0 + 371 + 6 = 666.
112328203716 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 36760392900 + 75567810816 = 191730^2 + 274896^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (112328203717) 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 26 ways as a sum of consecutive naturals, for example, 166906356 + ... + 166907028.
Almost surely, 2112328203716 is an apocalyptic number.
112328203716 is the 335154-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 112328203716
112328203716 is an abundant number, since it is smaller than the sum of its proper divisors (175502404713).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112328203716 is an frugal number, since it uses more digits than its factorization.
112328203716 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1522 (or 761 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
Multiplying 112328203716 by its sum of digits (36), we get a square (4043815333776 = 20109242).
112328203716 divided by its sum of digits (36) gives a square (3120227881 = 558592).
The spelling of 112328203716 in words is "one hundred twelve billion, three hundred twenty-eight million, two hundred three thousand, seven hundred sixteen".
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