Base | Representation |
---|---|
bin | 10010101000101111… |
… | …111010000100111000 |
3 | 1220122121020010120121 |
4 | 102220233322010320 |
5 | 311440304000440 |
6 | 13105401103024 |
7 | 1305614460136 |
oct | 225057720470 |
9 | 56577203517 |
10 | 20011000120 |
11 | 8539762631 |
12 | 3a65787a74 |
13 | 1b6ba59797 |
14 | d7b94a756 |
15 | 7c1be034a |
hex | 4a8bfa138 |
20011000120 has 128 divisors (see below), whose sum is σ = 47108563200. Its totient is φ = 7643990016.
The previous prime is 20011000111. The next prime is 20011000147. The reversal of 20011000120 is 2100011002.
It is a super-3 number, since 3×200110001203 (a number of 32 digits) contains 333 as substring.
It is a congruent number.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 22817122 + ... + 22817998.
It is an arithmetic number, because the mean of its divisors is an integer number (368035650).
Almost surely, 220011000120 is an apocalyptic number.
20011000120 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 20011000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23554281600).
20011000120 is an abundant number, since it is smaller than the sum of its proper divisors (27097563080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20011000120 is a wasteful number, since it uses less digits than its factorization.
20011000120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1217 (or 1213 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 7.
Adding to 20011000120 its reverse (2100011002), we get a palindrome (22111011122).
The spelling of 20011000120 in words is "twenty billion, eleven million, one hundred twenty", and thus it is an aban number.
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