Base | Representation |
---|---|
bin | 1001100110101110111110… |
… | …10001001010010010111110 |
3 | 2202210020211110121012211200 |
4 | 10303113133101022102332 |
5 | 10232031030100342342 |
6 | 112531205255400330 |
7 | 4310010220530636 |
oct | 463273721122276 |
9 | 82706743535750 |
10 | 21122100012222 |
11 | 6803917894340 |
12 | 24517306830a6 |
13 | ba2a6185a201 |
14 | 53045a89b6c6 |
15 | 26967ab1d94c |
hex | 1335df44a4be |
21122100012222 has 48 divisors (see below), whose sum is σ = 49979289409920. Its totient is φ = 6393671528400.
The previous prime is 21122100012197. The next prime is 21122100012227. The reversal of 21122100012222 is 22221000122112.
It is a happy number.
21122100012222 is a `hidden beast` number, since 211 + 221 + 0 + 0 + 0 + 12 + 222 = 666.
It is a super-2 number, since 2×211221000122222 (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).
It is a junction number, because it is equal to n+sod(n) for n = 21122100012195 and 21122100012204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21122100012227) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57857904 + ... + 58221827.
It is an arithmetic number, because the mean of its divisors is an integer number (1041235196040).
Almost surely, 221122100012222 is an apocalyptic number.
21122100012222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
21122100012222 is an abundant number, since it is smaller than the sum of its proper divisors (28857189397698).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21122100012222 is a wasteful number, since it uses less digits than its factorization.
21122100012222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 116080669 (or 116080666 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 21122100012222 its reverse (22221000122112), we get a palindrome (43343100134334).
The spelling of 21122100012222 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred million, twelve thousand, two hundred twenty-two".
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