Search a number
-
+
112321332000 = 2532534372559
BaseRepresentation
bin110100010011011011…
…1111000001100100000
3101201220212101212020100
41220212313320030200
53320013230111000
6123333311542400
711054266366143
oct1504667701440
9351825355210
10112321332000
11436a9511209
121992822aa00
13a790400837
14561760605a
152dc5ccea00
hex1a26df8320

112321332000 has 288 divisors, whose sum is σ = 407904456960. Its totient is φ = 29255385600.

The previous prime is 112321331989. The next prime is 112321332023. The reversal of 112321332000 is 233123211.

112321332000 is a `hidden beast` number, since 1 + 12 + 321 + 332 + 0 + 0 + 0 = 666.

112321332000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1511721 + ... + 1584279.

It is an arithmetic number, because the mean of its divisors is an integer number (1416334920).

Almost surely, 2112321332000 is an apocalyptic number.

112321332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112321332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203952228480).

112321332000 is an abundant number, since it is smaller than the sum of its proper divisors (295583124960).

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

112321332000 is a wasteful number, since it uses less digits than its factorization.

112321332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72633 (or 72612 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112321332000 its reverse (233123211), we get a palindrome (112554455211).

The spelling of 112321332000 in words is "one hundred twelve billion, three hundred twenty-one million, three hundred thirty-two thousand".