Base | Representation |
---|---|
bin | 100000001011010000011… |
… | …111000101100000110000 |
3 | 21211101021010102211020011 |
4 | 200023100133011200300 |
5 | 242211323404000422 |
6 | 4411434222224304 |
7 | 315514251253300 |
oct | 40132037054060 |
9 | 7741233384204 |
10 | 2211111000112 |
11 | 7827aa574903 |
12 | 2b8640725094 |
13 | 1306787a3511 |
14 | 79038497600 |
15 | 3c7b1b1a077 |
hex | 202d07c5830 |
2211111000112 has 120 divisors (see below), whose sum is σ = 5098361344704. Its totient is φ = 925840613376.
The previous prime is 2211111000103. The next prime is 2211111000113. The reversal of 2211111000112 is 2110001111122.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 2211111000092 and 2211111000101.
It is not an unprimeable number, because it can be changed into a prime (2211111000113) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21209298 + ... + 21313294.
Almost surely, 22211111000112 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 2211111000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549180672352).
2211111000112 is an abundant number, since it is smaller than the sum of its proper divisors (2887250344592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2211111000112 is a wasteful number, since it uses less digits than its factorization.
2211111000112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 104643 (or 104630 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 13.
Adding to 2211111000112 its reverse (2110001111122), we get a palindrome (4321112111234).
The spelling of 2211111000112 in words is "two trillion, two hundred eleven billion, one hundred eleven million, one hundred twelve", and thus it is an aban number.
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