Base | Representation |
---|---|
bin | 11110101111000011100… |
… | …100010000000000100100 |
3 | 21110220201120121001020020 |
4 | 132233003210100000210 |
5 | 234101100130032322 |
6 | 4254142343235140 |
7 | 305411024541330 |
oct | 36570344200044 |
9 | 7426646531206 |
10 | 2112110002212 |
11 | 744817040881 |
12 | 2a1411448ab0 |
13 | 12422bc419a2 |
14 | 74325da47c0 |
15 | 39e1a46605c |
hex | 1ebc3910024 |
2112110002212 has 144 divisors (see below), whose sum is σ = 5984572059648. Its totient is φ = 567822021120.
The previous prime is 2112110002207. The next prime is 2112110002231. The reversal of 2112110002212 is 2122000112112.
It is a super-3 number, since 3×21121100022123 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 2112110002191 and 2112110002200.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131252287 + ... + 131268377.
It is an arithmetic number, because the mean of its divisors is an integer number (41559528192).
Almost surely, 22112110002212 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 2112110002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992286029824).
2112110002212 is an abundant number, since it is smaller than the sum of its proper divisors (3872462057436).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2112110002212 is a wasteful number, since it uses less digits than its factorization.
2112110002212 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 21546 (or 21527 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 15.
Adding to 2112110002212 its reverse (2122000112112), we get a palindrome (4234110114324).
The spelling of 2112110002212 in words is "two trillion, one hundred twelve billion, one hundred ten million, two thousand, two hundred twelve".
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