Base | Representation |
---|---|
bin | 1010000000010110001000… |
… | …00100111010001001110101 |
3 | 2212220101022000121201112100 |
4 | 11000023010010322021311 |
5 | 10340440311200024341 |
6 | 114443344125012313 |
7 | 4430412564125424 |
oct | 500130404721165 |
9 | 85811260551470 |
10 | 22002112111221 |
11 | 7013052769290 |
12 | 25741a69b4099 |
13 | c37a372b6758 |
14 | 560c9d42b2bb |
15 | 2824d34be3b6 |
hex | 1402c413a275 |
22002112111221 has 48 divisors (see below), whose sum is σ = 35089934810112. Its totient is φ = 13173118452000.
The previous prime is 22002112111211. The next prime is 22002112111297. The reversal of 22002112111221 is 12211121120022.
22002112111221 is a `hidden beast` number, since 2 + 20 + 0 + 211 + 211 + 1 + 221 = 666.
It is a de Polignac number, because none of the positive numbers 2k-22002112111221 is a prime.
It is a super-2 number, since 2×220021121112212 (a number of 27 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 22002112111194 and 22002112111203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22002112111211) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144140286 + ... + 144292848.
It is an arithmetic number, because the mean of its divisors is an integer number (731040308544).
Almost surely, 222002112111221 is an apocalyptic number.
It is an amenable number.
22002112111221 is a deficient number, since it is larger than the sum of its proper divisors (13087822698891).
22002112111221 is a wasteful number, since it uses less digits than its factorization.
22002112111221 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 170214 (or 170211 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
Adding to 22002112111221 its reverse (12211121120022), we get a palindrome (34213233231243).
The spelling of 22002112111221 in words is "twenty-two trillion, two billion, one hundred twelve million, one hundred eleven thousand, two hundred twenty-one".
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