Base | Representation |
---|---|
bin | 1001101001101001011011… |
… | …10000001000000001000000 |
3 | 2210010211012200021021021110 |
4 | 10310310231300020001000 |
5 | 10240201031424000000 |
6 | 113045202231123320 |
7 | 4320152632064310 |
oct | 464645560100100 |
9 | 83124180237243 |
10 | 21222201000000 |
11 | 6842315226010 |
12 | 2469008213540 |
13 | bac325267c20 |
14 | 5352350c9440 |
15 | 26c088b55850 |
hex | 134d2dc08040 |
21222201000000 has 3136 divisors, whose sum is σ = 97290914660352. Its totient is φ = 3939840000000.
The previous prime is 21222200999959. The next prime is 21222201000031. The reversal of 21222201000000 is 10222212.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a self number, because there is not a number n which added to its sum of digits gives 21222201000000.
It is an unprimeable number.
It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 111110999905 + ... + 111111000095.
Almost surely, 221222201000000 is an apocalyptic number.
21222201000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 21222201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48645457330176).
21222201000000 is an abundant number, since it is smaller than the sum of its proper divisors (76068713660352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21222201000000 is a wasteful number, since it uses less digits than its factorization.
21222201000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 304 (or 269 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
Adding to 21222201000000 its reverse (10222212), we get a palindrome (21222211222212).
The spelling of 21222201000000 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred one million", and thus it is an aban number.
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