Base | Representation |
---|---|
bin | 1110010100010… |
… | …11110000100000 |
3 | 22101000020002200 |
4 | 13022023300200 |
5 | 221222010422 |
6 | 15530213200 |
7 | 2655630153 |
oct | 712136040 |
9 | 271006080 |
10 | 120110112 |
11 | 61887561 |
12 | 34284200 |
13 | 1bb65095 |
14 | 11d47c9a |
15 | a8282ac |
hex | 728bc20 |
120110112 has 144 divisors (see below), whose sum is σ = 359999640. Its totient is φ = 37933056.
The previous prime is 120110093. The next prime is 120110143. The reversal of 120110112 is 211011021.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 120033936 + 76176 = 10956^2 + 276^2 .
It is a tau number, because it is divible by the number of its divisors (144).
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 = 120110094 and 120110103.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609598 + ... + 609794.
Almost surely, 2120110112 is an apocalyptic number.
120110112 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 120110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179999820).
120110112 is an abundant number, since it is smaller than the sum of its proper divisors (239889528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120110112 is a wasteful number, since it uses less digits than its factorization.
120110112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 315 (or 304 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
The square root of 120110112 is about 10959.4758998777. The cubic root of 120110112 is about 493.3932351579.
Adding to 120110112 its reverse (211011021), we get a palindrome (331121133).
Subtracting 120110112 from its reverse (211011021), we obtain a palindrome (90900909).
The spelling of 120110112 in words is "one hundred twenty million, one hundred ten thousand, one hundred twelve".
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