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112328203716 = 22328326732
BaseRepresentation
bin110100010011101001…
…0000101110111000100
3101201221100022222110100
41220213102011313010
53320022010004331
6123334115124100
711054411656251
oct1504722056704
9351840288410
10112328203716
1143702385013
121992a5a3630
13a791968541
1456184b4428
152dc66daae6
hex1a27485dc4

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".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 673 747 996 1346 1494 2019 2692 2988 4038 6057 6889 8076 12114 13778 20667 24228 27556 41334 55859 62001 82668 111718 124002 167577 223436 248004 335154 452929 502731 670308 905858 1005462 1358787 1811716 2010924 2717574 4076361 4636297 5435148 8152722 9272594 13908891 16305444 18545188 27817782 37593107 41726673 55635564 75186214 83453346 112779321 150372428 166906692 225558642 338337963 451117284 676675926 1353351852 3120227881 6240455762 9360683643 12480911524 18721367286 28082050929 37442734572 56164101858 112328203716