Base | Representation |
---|---|
bin | 110100010000110000… |
… | …0100011100010100000 |
3 | 101201200121001101110000 |
4 | 1220201200203202200 |
5 | 3314322210111000 |
6 | 123320334540000 |
7 | 11052124403364 |
oct | 1504140434240 |
9 | 351617041400 |
10 | 112231332000 |
11 | 4366272a947 |
12 | 19902067600 |
13 | a77787b8b8 |
14 | 56096992a4 |
15 | 2dbce53000 |
hex | 1a218238a0 |
112231332000 has 240 divisors, whose sum is σ = 411927588072. Its totient is φ = 29928268800.
The previous prime is 112231331983. The next prime is 112231332023. The reversal of 112231332000 is 233132211.
112231332000 is a `hidden beast` number, since 11 + 22 + 313 + 320 + 0 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 15776364816 + 96454967184 = 125604^2 + 310572^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 150804 + ... + 497196.
Almost surely, 2112231332000 is an apocalyptic number.
112231332000 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 112231332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205963794036).
112231332000 is an abundant number, since it is smaller than the sum of its proper divisors (299696256072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112231332000 is an equidigital number, since it uses as much as digits as its factorization.
112231332000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 346430 (or 346403 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 112231332000 its reverse (233132211), we get a palindrome (112464464211).
The spelling of 112231332000 in words is "one hundred twelve billion, two hundred thirty-one million, three hundred thirty-two thousand".
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