Base | Representation |
---|---|
bin | 1010000000111001101011… |
… | …11011001000111100111001 |
3 | 2212222012120102122200100100 |
4 | 11000130311323020330321 |
5 | 10341243410204202301 |
6 | 114500222304030013 |
7 | 4431656625523524 |
oct | 500346573107471 |
9 | 85865512580310 |
10 | 22021202022201 |
11 | 70201594a4a18 |
12 | 2577a34002309 |
13 | c3978a274775 |
14 | 561b908cbbbb |
15 | 282c4e3b9286 |
hex | 140735ec8f39 |
22021202022201 has 24 divisors (see below), whose sum is σ = 32981238206280. Its totient is φ = 14141831026176.
The previous prime is 22021202022191. The next prime is 22021202022217. The reversal of 22021202022201 is 10222020212022.
22021202022201 is a `hidden beast` number, since 220 + 2 + 1 + 20 + 202 + 220 + 1 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 228614400 + 22020973407801 = 15120^2 + 4692651^2 .
It is not a de Polignac number, because 22021202022201 - 27 = 22021202022073 is a prime.
It is not an unprimeable number, because it can be changed into a prime (22021202022241) 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 23 ways as a sum of consecutive naturals, for example, 97314726 + ... + 97540751.
It is an arithmetic number, because the mean of its divisors is an integer number (1374218258595).
Almost surely, 222021202022201 is an apocalyptic number.
It is an amenable number.
22021202022201 is a deficient number, since it is larger than the sum of its proper divisors (10960036184079).
22021202022201 is a wasteful number, since it uses less digits than its factorization.
22021202022201 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 194855945 (or 194855942 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 22021202022201 its reverse (10222020212022), we get a palindrome (32243222234223).
The spelling of 22021202022201 in words is "twenty-two trillion, twenty-one billion, two hundred two million, twenty-two thousand, two hundred one".
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