Base | Representation |
---|---|
bin | 110100001001111101… |
… | …0011101100010001000 |
3 | 101201002200212012221200 |
4 | 1220103322131202020 |
5 | 3313340312221440 |
6 | 123241550104200 |
7 | 11043354564330 |
oct | 1502372354210 |
9 | 351080765850 |
10 | 112003242120 |
11 | 43555a01610 |
12 | 198597ab060 |
13 | a73c53ab83 |
14 | 55c72840c0 |
15 | 2da7deac30 |
hex | 1a13e9d888 |
112003242120 has 768 divisors, whose sum is σ = 482347008000. Its totient is φ = 21835008000.
The previous prime is 112003242097. The next prime is 112003242121. The reversal of 112003242120 is 21242300211.
It is a happy number.
112003242120 is a `hidden beast` number, since 11 + 200 + 32 + 421 + 2 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 112003242093 and 112003242102.
It is not an unprimeable number, because it can be changed into a prime (112003242121) 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 191 ways as a sum of consecutive naturals, for example, 57407145 + ... + 57409095.
It is an arithmetic number, because the mean of its divisors is an integer number (628056000).
Almost surely, 2112003242120 is an apocalyptic number.
112003242120 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 112003242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241173504000).
112003242120 is an abundant number, since it is smaller than the sum of its proper divisors (370343765880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112003242120 is a wasteful number, since it uses less digits than its factorization.
112003242120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2114 (or 2107 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 112003242120 its reverse (21242300211), we get a palindrome (133245542331).
The spelling of 112003242120 in words is "one hundred twelve billion, three million, two hundred forty-two thousand, one hundred twenty".
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