Base | Representation |
---|---|
bin | 11101000110110101111… |
… | …100000011100111101000 |
3 | 21002012220020011100101012 |
4 | 131012311330003213220 |
5 | 230232413311242300 |
6 | 4130515041243052 |
7 | 264340060164356 |
oct | 35066574034750 |
9 | 7065806140335 |
10 | 2000212212200 |
11 | 701315714a74 |
12 | 2837a3033488 |
13 | 116808506117 |
14 | 6cb4cb307d6 |
15 | 3706b94a435 |
hex | 1d1b5f039e8 |
2000212212200 has 96 divisors (see below), whose sum is σ = 4678046132760. Its totient is φ = 795348172800.
The previous prime is 2000212212179. The next prime is 2000212212217. The reversal of 2000212212200 is 22122120002.
It can be written as a sum of positive squares in 12 ways, for example, as 726289155076 + 1273923057124 = 852226^2 + 1128682^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104861864 + ... + 104880936.
Almost surely, 22000212212200 is an apocalyptic number.
2000212212200 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 2000212212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339023066380).
2000212212200 is an abundant number, since it is smaller than the sum of its proper divisors (2677833920560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2000212212200 is a wasteful number, since it uses less digits than its factorization.
2000212212200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 22167 (or 22158 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
Adding to 2000212212200 its reverse (22122120002), we get a palindrome (2022334332202).
The spelling of 2000212212200 in words is "two trillion, two hundred twelve million, two hundred twelve thousand, two hundred".
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