Base | Representation |
---|---|
bin | 11101001010110010000… |
… | …10001011001010101101 |
3 | 10112210220111212010101000 |
4 | 32211121002023022231 |
5 | 112410022101402341 |
6 | 2044225232510513 |
7 | 132256654660014 |
oct | 16453102131255 |
9 | 3483814763330 |
10 | 1002221122221 |
11 | 3570487719a0 |
12 | 1422a19ab439 |
13 | 736804b4347 |
14 | 36717421a7b |
15 | 1b10b7568b6 |
hex | e95908b2ad |
1002221122221 has 32 divisors (see below), whose sum is σ = 1626886886400. Its totient is φ = 604730899440.
The previous prime is 1002221122213. The next prime is 1002221122241. The reversal of 1002221122221 is 1222211222001.
It is a happy number.
1002221122221 is a `hidden beast` number, since 100 + 2 + 221 + 122 + 221 = 666.
It is not a de Polignac number, because 1002221122221 - 23 = 1002221122213 is a prime.
It is a super-3 number, since 3×10022211222213 (a number of 37 digits) contains 333 as substring.
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 1002221122194 and 1002221122203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1002221122241) 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 31 ways as a sum of consecutive naturals, for example, 7365361 + ... + 7500198.
It is an arithmetic number, because the mean of its divisors is an integer number (50840215200).
Almost surely, 21002221122221 is an apocalyptic number.
1002221122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
1002221122221 is a deficient number, since it is larger than the sum of its proper divisors (624665764179).
1002221122221 is a wasteful number, since it uses less digits than its factorization.
1002221122221 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14865806 (or 14865800 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 1002221122221 its reverse (1222211222001), we get a palindrome (2224432344222).
The spelling of 1002221122221 in words is "one trillion, two billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty-one".
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