Base | Representation |
---|---|
bin | 101101110000001010110010… |
… | …111100011010101101100100 |
3 | 222101110122201111012010102112 |
4 | 231300022302330122231210 |
5 | 202333311101310000400 |
6 | 1551544113421500152 |
7 | 60245553124023125 |
oct | 5560126274325544 |
9 | 871418644163375 |
10 | 201222220000100 |
11 | 5912a956379392 |
12 | 1a69a26a411658 |
13 | 8838235166330 |
14 | 37992c91da04c |
15 | 183e3b9863835 |
hex | b702b2f1ab64 |
201222220000100 has 144 divisors (see below), whose sum is σ = 495238853518080. Its totient is φ = 70351709414400.
The previous prime is 201222220000057. The next prime is 201222220000103. The reversal of 201222220000100 is 1000022222102.
201222220000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not an unprimeable number, because it can be changed into a prime (201222220000103) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47183285 + ... + 51270915.
Almost surely, 2201222220000100 is an apocalyptic number.
201222220000100 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 201222220000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247619426759040).
201222220000100 is an abundant number, since it is smaller than the sum of its proper divisors (294016633517980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201222220000100 is a wasteful number, since it uses less digits than its factorization.
201222220000100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4089670 (or 4089663 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
Adding to 201222220000100 its reverse (1000022222102), we get a palindrome (202222242222202).
The spelling of 201222220000100 in words is "two hundred one trillion, two hundred twenty-two billion, two hundred twenty million, one hundred", and thus it is an aban number.
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