Base | Representation |
---|---|
bin | 1010000011110101011110… |
… | …10000111000000101000001 |
3 | 2220022211210202020210001000 |
4 | 11001322233100320011001 |
5 | 10344421400113324301 |
6 | 115014414442202213 |
7 | 4442156220350520 |
oct | 501725720700501 |
9 | 86284722223030 |
10 | 22122022011201 |
11 | 7059995783982 |
12 | 25934904b3369 |
13 | c461369154a8 |
14 | 5669d67dc4b7 |
15 | 2856a05c8786 |
hex | 141eaf438141 |
22122022011201 has 64 divisors (see below), whose sum is σ = 38020745779200. Its totient is φ = 12450373075008.
The previous prime is 22122022011169. The next prime is 22122022011217. The reversal of 22122022011201 is 10211022022122.
It is a happy number.
22122022011201 is a `hidden beast` number, since 2 + 21 + 220 + 220 + 1 + 1 + 201 = 666.
It is not a de Polignac number, because 22122022011201 - 25 = 22122022011169 is a prime.
It is not an unprimeable number, because it can be changed into a prime (22122022011101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76200346 + ... + 76490108.
It is an arithmetic number, because the mean of its divisors is an integer number (594074152800).
Almost surely, 222122022011201 is an apocalyptic number.
22122022011201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.
It is an amenable number.
22122022011201 is a deficient number, since it is larger than the sum of its proper divisors (15898723767999).
22122022011201 is a wasteful number, since it uses less digits than its factorization.
22122022011201 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 295875 (or 295869 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 22122022011201 its reverse (10211022022122), we get a palindrome (32333044033323).
The spelling of 22122022011201 in words is "twenty-two trillion, one hundred twenty-two billion, twenty-two million, eleven thousand, two hundred one".
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