| Base | Representation |
|---|---|
| bin | 111110111100100… |
| … | …0011110110110000 |
| 3 | 12110012022022020022 |
| 4 | 1331321003312300 |
| 5 | 13311200010000 |
| 6 | 545325503012 |
| 7 | 103224432050 |
| oct | 17571036660 |
| 9 | 5405268208 |
| 10 | 2112110000 |
| 11 | 99425a560 |
| 12 | 4ab411a68 |
| 13 | 27876ac40 |
| 14 | 16071d560 |
| 15 | c565a585 |
| hex | 7de43db0 |
2112110000 has 400 divisors, whose sum is σ = 6898391808. Its totient is φ = 604800000.
The previous prime is 2112109973. The next prime is 2112110003. The reversal of 2112110000 is 112112.
It is a tau number, because it is divible by the number of its divisors (400).
It is a super-2 number, since 2×21121100002 = 8922017304200000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a self number, because there is not a number n which added to its sum of digits gives 2112110000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2112110003) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10009895 + ... + 10010105.
Almost surely, 22112110000 is an apocalyptic number.
2112110000 is a gapful number since it is divisible by the number (20) 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 2112110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449195904).
2112110000 is an abundant number, since it is smaller than the sum of its proper divisors (4786281808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2112110000 is a wasteful number, since it uses less digits than its factorization.
2112110000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 270 (or 249 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 8.
The square root of 2112110000 is about 45957.6979406062. The cubic root of 2112110000 is about 1283.0360061556.
Adding to 2112110000 its reverse (112112), we get a palindrome (2112222112).
It can be divided in two parts, 211 and 2110000, that multiplied together give a square (445210000 = 211002).
The spelling of 2112110000 in words is "two billion, one hundred twelve million, one hundred ten thousand".
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