Base | Representation |
---|---|
bin | 11110100011111000011… |
… | …011100000010000010100 |
3 | 21102202202102020101100200 |
4 | 132203320123200100110 |
5 | 233402012133000040 |
6 | 4244440024340500 |
7 | 304504506315156 |
oct | 36437033402024 |
9 | 7382672211320 |
10 | 2100112000020 |
11 | 73a71a524191 |
12 | 29b023314730 |
13 | 1230693295c8 |
14 | 73908746ad6 |
15 | 39966e8c630 |
hex | 1e8f86e0414 |
2100112000020 has 144 divisors (see below), whose sum is σ = 6391080433920. Its totient is φ = 558208620288.
The previous prime is 2100111999989. The next prime is 2100112000057. The reversal of 2100112000020 is 200002110012.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 2100111999966 and 2100112000011.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104250069 + ... + 104270211.
Almost surely, 22100112000020 is an apocalyptic number.
2100112000020 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 2100112000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195540216960).
2100112000020 is an abundant number, since it is smaller than the sum of its proper divisors (4290968433900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2100112000020 is a wasteful number, since it uses less digits than its factorization.
2100112000020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 22014 (or 22009 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 2100112000020 its reverse (200002110012), we get a palindrome (2300114110032).
The spelling of 2100112000020 in words is "two trillion, one hundred billion, one hundred twelve million, twenty", and thus it is an aban number.
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