Base | Representation |
---|---|
bin | 1001010010111000111011… |
… | …0000001101111110100100 |
3 | 1100012000220212222201020021 |
4 | 2110232032300031332210 |
5 | 2314421302240431040 |
6 | 33423020451444524 |
7 | 2103244104240313 |
oct | 224561660157644 |
9 | 40160825881207 |
10 | 10220122202020 |
11 | 32903695aa445 |
12 | 119088a2b6744 |
13 | 5919a426a5c3 |
14 | 27492982627a |
15 | 12acaec2124a |
hex | 94b8ec0dfa4 |
10220122202020 has 48 divisors (see below), whose sum is σ = 21986406409968. Its totient is φ = 3988216995840.
The previous prime is 10220122201999. The next prime is 10220122202021. The reversal of 10220122202020 is 2020222102201.
10220122202020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 1862750010276 + 8357372191744 = 1364826^2 + 2890912^2 .
It is a junction number, because it is equal to n+sod(n) for n = 10220122201985 and 10220122202003.
It is not an unprimeable number, because it can be changed into a prime (10220122202021) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29030974 + ... + 29380906.
It is an arithmetic number, because the mean of its divisors is an integer number (458050133541).
Almost surely, 210220122202020 is an apocalyptic number.
10220122202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
10220122202020 is an abundant number, since it is smaller than the sum of its proper divisors (11766284207948).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10220122202020 is a wasteful number, since it uses less digits than its factorization.
10220122202020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 385600 (or 385598 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 16.
Adding to 10220122202020 its reverse (2020222102201), we get a palindrome (12240344304221).
The spelling of 10220122202020 in words is "ten trillion, two hundred twenty billion, one hundred twenty-two million, two hundred two thousand, twenty".
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