Base | Representation |
---|---|
bin | 1010000000101010111111… |
… | …01010010001101111001101 |
3 | 2212221110012120202210011112 |
4 | 11000111133222101233031 |
5 | 10341131230422411341 |
6 | 114452435344101405 |
7 | 4431260254215011 |
oct | 500253752215715 |
9 | 85843176683145 |
10 | 22013312310221 |
11 | 701787aa055a1 |
12 | 25763b1904865 |
13 | c38b00837b3b |
14 | 561642b32541 |
15 | 28293b906aeb |
hex | 14055fa91bcd |
22013312310221 has 12 divisors (see below), whose sum is σ = 23110790101308. Its totient is φ = 20965841649984.
The previous prime is 22013312310191. The next prime is 22013312310277. The reversal of 22013312310221 is 12201321331022.
It can be written as a sum of positive squares in 2 ways, for example, as 11877914209225 + 10135398100996 = 3446435^2 + 3183614^2 .
It is not a de Polignac number, because 22013312310221 - 238 = 21738434403277 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (23).
It is a Duffinian number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22013312340221) 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 11 ways as a sum of consecutive naturals, for example, 89175170 + ... + 89421683.
It is an arithmetic number, because the mean of its divisors is an integer number (1925899175109).
Almost surely, 222013312310221 is an apocalyptic number.
It is an amenable number.
22013312310221 is a deficient number, since it is larger than the sum of its proper divisors (1097477791087).
22013312310221 is a wasteful number, since it uses less digits than its factorization.
22013312310221 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 178597132 (or 178597109 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 23.
Adding to 22013312310221 its reverse (12201321331022), we get a palindrome (34214633641243).
The spelling of 22013312310221 in words is "twenty-two trillion, thirteen billion, three hundred twelve million, three hundred ten thousand, two hundred twenty-one".
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