Base | Representation |
---|---|
bin | 1100010010110111000… |
… | …0100101110100000110 |
3 | 202012012100210010122220 |
4 | 3010231300211310012 |
5 | 11430040101010042 |
6 | 241011133233210 |
7 | 21155153545326 |
oct | 3045560456406 |
9 | 665170703586 |
10 | 211221110022 |
11 | 8163a8a024a |
12 | 34b29632806 |
13 | 16bc1cb2550 |
14 | a31a4ab286 |
15 | 576363c8ec |
hex | 312dc25d06 |
211221110022 has 64 divisors (see below), whose sum is σ = 458139870720. Its totient is φ = 64534489344.
The previous prime is 211221110021. The next prime is 211221110059. The reversal of 211221110022 is 220011122112.
It is a super-2 number, since 2×2112211100222 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 211221109983 and 211221110010.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (211221110021) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13265538 + ... + 13281450.
It is an arithmetic number, because the mean of its divisors is an integer number (7158435480).
Almost surely, 2211221110022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 211221110022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229069935360).
211221110022 is an abundant number, since it is smaller than the sum of its proper divisors (246918760698).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211221110022 is a wasteful number, since it uses less digits than its factorization.
211221110022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17117.
The product of its (nonzero) digits is 32, while the sum is 15.
Adding to 211221110022 its reverse (220011122112), we get a palindrome (431232232134).
The spelling of 211221110022 in words is "two hundred eleven billion, two hundred twenty-one million, one hundred ten thousand, twenty-two".
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