Base | Representation |
---|---|
bin | 1110010101000… |
… | …01101110110000 |
3 | 22101011210120000 |
4 | 13022201232300 |
5 | 221232400422 |
6 | 15532150000 |
7 | 2656453434 |
oct | 712415660 |
9 | 271153500 |
10 | 120200112 |
11 | 6193913a |
12 | 34308300 |
13 | 1bb97036 |
14 | 11d6c9c4 |
15 | a844cac |
hex | 72a1bb0 |
120200112 has 100 divisors (see below), whose sum is σ = 350643480. Its totient is φ = 39750912.
The previous prime is 120200071. The next prime is 120200123. The reversal of 120200112 is 211002021.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 120200094 and 120200103.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 210964 + ... + 211532.
Almost surely, 2120200112 is an apocalyptic number.
120200112 is a gapful number since it is divisible by the number (12) 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 120200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175321740).
120200112 is an abundant number, since it is smaller than the sum of its proper divisors (230443368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120200112 is a wasteful number, since it uses less digits than its factorization.
120200112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 752 (or 737 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 120200112 is about 10963.5811667539. The cubic root of 120200112 is about 493.5164396183.
Adding to 120200112 its reverse (211002021), we get a palindrome (331202133).
The spelling of 120200112 in words is "one hundred twenty million, two hundred thousand, one hundred twelve".
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