Base | Representation |
---|---|
bin | 10010101110001011… |
… | …110011111010111100 |
3 | 1220212221211121200201 |
4 | 102232023303322330 |
5 | 312132130413040 |
6 | 13122415533244 |
7 | 1311102614026 |
oct | 225613637274 |
9 | 56787747621 |
10 | 20102201020 |
11 | 8586194180 |
12 | 3a9022a224 |
13 | 1b8490c205 |
14 | d89acb016 |
15 | 7c9c07a9a |
hex | 4ae2f3ebc |
20102201020 has 144 divisors (see below), whose sum is σ = 50680990080. Its totient is φ = 6623337600.
The previous prime is 20102200991. The next prime is 20102201027. The reversal of 20102201020 is 2010220102.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 20102200988 and 20102201006.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (20102201027) 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, 2206675 + ... + 2215765.
It is an arithmetic number, because the mean of its divisors is an integer number (351951320).
Almost surely, 220102201020 is an apocalyptic number.
20102201020 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 20102201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25340495040).
20102201020 is an abundant number, since it is smaller than the sum of its proper divisors (30578789060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20102201020 is a wasteful number, since it uses less digits than its factorization.
20102201020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9176 (or 9151 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
20102201020 divided by its sum of digits (10) gives a palindrome (2010220102).
Adding to 20102201020 its reverse (2010220102), we get a palindrome (22112421122).
It can be divided in two parts, 20102 and 201020, that added together give a palindrome (221122).
The spelling of 20102201020 in words is "twenty billion, one hundred two million, two hundred one thousand, twenty".
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