Base | Representation |
---|---|
bin | 111000011001000100… |
… | …1011110101100100000 |
3 | 102120120200211020211021 |
4 | 1300302021132230200 |
5 | 3441003202230422 |
6 | 131344402255224 |
7 | 11514660446314 |
oct | 1606211365440 |
9 | 376520736737 |
10 | 121100430112 |
11 | 473a40435a2 |
12 | 1b578357514 |
13 | b55c188a4c |
14 | 5c0b557b44 |
15 | 323b8c3dc7 |
hex | 1c3225eb20 |
121100430112 has 96 divisors (see below), whose sum is σ = 257886720000. Its totient is φ = 55796283648.
The previous prime is 121100430091. The next prime is 121100430173. The reversal of 121100430112 is 211034001121.
121100430112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×1211004301123 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4644889 + ... + 4670887.
It is an arithmetic number, because the mean of its divisors is an integer number (2686320000).
Almost surely, 2121100430112 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 121100430112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128943360000).
121100430112 is an abundant number, since it is smaller than the sum of its proper divisors (136786289888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121100430112 is a wasteful number, since it uses less digits than its factorization.
121100430112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 26238 (or 26230 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 16.
Adding to 121100430112 its reverse (211034001121), we get a palindrome (332134431233).
The spelling of 121100430112 in words is "one hundred twenty-one billion, one hundred million, four hundred thirty thousand, one hundred twelve".
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