Base | Representation |
---|---|
bin | 1011000111011111000011… |
… | …0100101111000101110000 |
3 | 1121021112021101020112102200 |
4 | 2301313300310233011300 |
5 | 3100231124403011303 |
6 | 41555134254543200 |
7 | 2401045562245635 |
oct | 261676064570560 |
9 | 47245241215380 |
10 | 12223222313328 |
11 | 3992926378794 |
12 | 1454b38507b00 |
13 | 6a884cb68560 |
14 | 30386dcdc18c |
15 | 162e49e6a3a3 |
hex | b1df0d2f170 |
12223222313328 has 120 divisors (see below), whose sum is σ = 37060030277088. Its totient is φ = 3738470478336.
The previous prime is 12223222313327. The next prime is 12223222313387. The reversal of 12223222313328 is 82331322232221.
It is a happy number.
12223222313328 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 322 + 2 + 3 + 1 + 3 + 328 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 12223222313292 and 12223222313301.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12223222313327) 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, 19236775 + ... + 19862022.
Almost surely, 212223222313328 is an apocalyptic number.
12223222313328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
12223222313328 is an abundant number, since it is smaller than the sum of its proper divisors (24836807963760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12223222313328 is a wasteful number, since it uses less digits than its factorization.
12223222313328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 39098991 (or 39098982 counting only the distinct ones).
The product of its digits is 82944, while the sum is 36.
Adding to 12223222313328 its reverse (82331322232221), we get a palindrome (94554544545549).
The spelling of 12223222313328 in words is "twelve trillion, two hundred twenty-three billion, two hundred twenty-two million, three hundred thirteen thousand, three hundred twenty-eight".
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