| Base | Representation |
|---|---|
| bin | 111110111101000… |
| … | …1101111000010000 |
| 3 | 12110012212201010221 |
| 4 | 1331322031320100 |
| 5 | 13311234210300 |
| 6 | 545340202424 |
| 7 | 103230134032 |
| oct | 17572157020 |
| 9 | 5405781127 |
| 10 | 2112413200 |
| 11 | 994447337 |
| 12 | 4ab539414 |
| 13 | 278845c51 |
| 14 | 16079bc52 |
| 15 | c56ba31a |
| hex | 7de8de10 |
2112413200 has 120 divisors (see below), whose sum is σ = 5400089640. Its totient is φ = 791347200.
The previous prime is 2112413119. The next prime is 2112413201. The reversal of 2112413200 is 23142112.
It can be written as a sum of positive squares in 12 ways, for example, as 15872256 + 2096540944 = 3984^2 + 45788^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is not an unprimeable number, because it can be changed into a prime (2112413201) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1638156 + ... + 1639444.
It is an arithmetic number, because the mean of its divisors is an integer number (45000747).
Almost surely, 22112413200 is an apocalyptic number.
2112413200 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 2112413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700044820).
2112413200 is an abundant number, since it is smaller than the sum of its proper divisors (3287676440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2112413200 is a wasteful number, since it uses less digits than its factorization.
2112413200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1565 (or 1554 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
The square root of 2112413200 is about 45960.9965079087. The cubic root of 2112413200 is about 1283.0973978293.
Adding to 2112413200 its reverse (23142112), we get a palindrome (2135555312).
The spelling of 2112413200 in words is "two billion, one hundred twelve million, four hundred thirteen thousand, two hundred".
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