Base | Representation |
---|---|
bin | 1001001100011110101110… |
… | …01011101010101010000101 |
3 | 2122121000102001012122112200 |
4 | 10212033113023222222011 |
5 | 10122241100413101041 |
6 | 111000541032305113 |
7 | 4154563655401365 |
oct | 446172713525205 |
9 | 78530361178480 |
10 | 20220021222021 |
11 | 6496298932715 |
12 | 2326938242199 |
13 | b389804cb23a |
14 | 4dc92338a9a5 |
15 | 250e80d691b6 |
hex | 1263d72eaa85 |
20220021222021 has 48 divisors (see below), whose sum is σ = 29629885929072. Its totient is φ = 13286042496000.
The previous prime is 20220021222001. The next prime is 20220021222029. The reversal of 20220021222021 is 12022212002202.
20220021222021 is a `hidden beast` number, since 202 + 200 + 21 + 2 + 220 + 21 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 7342940165796 + 12877081056225 = 2709786^2 + 3588465^2 .
It is not a de Polignac number, because 20220021222021 - 27 = 20220021221893 is a prime.
It is a super-3 number, since 3×202200212220213 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 20220021221985 and 20220021222003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (20220021222029) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183374721 + ... + 183484953.
It is an arithmetic number, because the mean of its divisors is an integer number (617289290189).
Almost surely, 220220021222021 is an apocalyptic number.
It is an amenable number.
20220021222021 is a deficient number, since it is larger than the sum of its proper divisors (9409864707051).
20220021222021 is a wasteful number, since it uses less digits than its factorization.
20220021222021 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 111254 (or 111251 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 20220021222021 its reverse (12022212002202), we get a palindrome (32242233224223).
The spelling of 20220021222021 in words is "twenty trillion, two hundred twenty billion, twenty-one million, two hundred twenty-two thousand, twenty-one".
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