Base | Representation |
---|---|
bin | 1001100110101011011110… |
… | …01101100100000110000010 |
3 | 2202210001222110001202212200 |
4 | 10303111233031210012002 |
5 | 10232013202311133442 |
6 | 112530254540534030 |
7 | 4306612512055215 |
oct | 463255715440602 |
9 | 82701873052780 |
10 | 21120220021122 |
11 | 6803042665192 |
12 | 24512a6b51316 |
13 | ba2822210b41 |
14 | 53031cd2177c |
15 | 2695baa6434c |
hex | 13356f364182 |
21120220021122 has 12 divisors (see below), whose sum is σ = 45760476712470. Its totient is φ = 7040073340368.
The previous prime is 21120220021051. The next prime is 21120220021127. The reversal of 21120220021122 is 22112002202112.
It is a happy number.
21120220021122 is a `hidden beast` number, since 211 + 2 + 0 + 220 + 0 + 211 + 22 = 666.
It can be written as a sum of positive squares in only one way, i.e., 15349948245801 + 5770271775321 = 3917901^2 + 2402139^2 .
It is a super-2 number, since 2×211202200211222 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1173345556729 = 21120220021122 / (2 + 1 + 1 + 2 + 0 + 2 + 2 + 0 + 0 + 2 + 1 + 1 + 2 + 2).
It is a junction number, because it is equal to n+sod(n) for n = 21120220021095 and 21120220021104.
It is not an unprimeable number, because it can be changed into a prime (21120220021127) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 586672778347 + ... + 586672778382.
Almost surely, 221120220021122 is an apocalyptic number.
21120220021122 is an abundant number, since it is smaller than the sum of its proper divisors (24640256691348).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21120220021122 is a wasteful number, since it uses less digits than its factorization.
21120220021122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1173345556737 (or 1173345556734 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 21120220021122 its reverse (22112002202112), we get a palindrome (43232222223234).
The spelling of 21120220021122 in words is "twenty-one trillion, one hundred twenty billion, two hundred twenty million, twenty-one thousand, one hundred twenty-two".
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