Base | Representation |
---|---|
bin | 1001000110000110110011… |
… | …10101000111011101001101 |
3 | 2121211002010122010020122021 |
4 | 10203003121311013131031 |
5 | 10110144043202411341 |
6 | 110312202013450141 |
7 | 4133011656353101 |
oct | 443033165073515 |
9 | 77732118106567 |
10 | 20001022310221 |
11 | 6411427739917 |
12 | 22b03b9aa0951 |
13 | b2111c032a24 |
14 | 4d20a9d35901 |
15 | 24a4149c29d1 |
hex | 1230d9d4774d |
20001022310221 has 8 divisors (see below), whose sum is σ = 20047558052984. Its totient is φ = 19954488153600.
The previous prime is 20001022310207. The next prime is 20001022310293. The reversal of 20001022310221 is 12201322010002.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 815614896996 + 19185407413225 = 903114^2 + 4380115^2 .
It is a sphenic number, since it is the product of 3 distinct primes.
It is a cyclic number.
It is not a de Polignac number, because 20001022310221 - 25 = 20001022310189 is a prime.
It is a super-2 number, since 2×200010223102212 (a number of 27 digits) contains 22 as substring.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 20001022310195 and 20001022310204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (20001022910221) 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 7 ways as a sum of consecutive naturals, for example, 27060271 + ... + 27789571.
It is an arithmetic number, because the mean of its divisors is an integer number (2505944756623).
Almost surely, 220001022310221 is an apocalyptic number.
It is an amenable number.
20001022310221 is a deficient number, since it is larger than the sum of its proper divisors (46535742763).
20001022310221 is an equidigital number, since it uses as much as digits as its factorization.
20001022310221 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 793071.
The product of its (nonzero) digits is 96, while the sum is 16.
Adding to 20001022310221 its reverse (12201322010002), we get a palindrome (32202344320223).
The spelling of 20001022310221 in words is "twenty trillion, one billion, twenty-two million, three hundred ten thousand, two hundred twenty-one".
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