Base | Representation |
---|---|
bin | 10100100101010100… |
… | …100111111101010100 |
3 | 2010001020221010110022 |
4 | 110211110213331110 |
5 | 330230324000040 |
6 | 14053021044312 |
7 | 1411453254251 |
oct | 244524477524 |
9 | 63036833408 |
10 | 22101000020 |
11 | 9411490480 |
12 | 43496b6698 |
13 | 2112a55a08 |
14 | 10d9352428 |
15 | 89542e6b5 |
hex | 525527f54 |
22101000020 has 48 divisors (see below), whose sum is σ = 50734748736. Its totient is φ = 8020320000.
The previous prime is 22101000011. The next prime is 22101000049. The reversal of 22101000020 is 2000010122.
It is a junction number, because it is equal to n+sod(n) for n = 22100999971 and 22101000007.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5720 + ... + 210320.
It is an arithmetic number, because the mean of its divisors is an integer number (1056973932).
Almost surely, 222101000020 is an apocalyptic number.
22101000020 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 22101000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25367374368).
22101000020 is an abundant number, since it is smaller than the sum of its proper divisors (28633748716).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22101000020 is a wasteful number, since it uses less digits than its factorization.
22101000020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 205112 (or 205110 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 8.
Adding to 22101000020 its reverse (2000010122), we get a palindrome (24101010142).
The spelling of 22101000020 in words is "twenty-two billion, one hundred one million, twenty", and thus it is an aban number.
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