Base | Representation |
---|---|
bin | 11101001000100111110… |
… | …001110010001110001000 |
3 | 21002101211022222211020122 |
4 | 131020213301302032020 |
5 | 230300321230401440 |
6 | 4131432345242412 |
7 | 264435311150021 |
oct | 35104761621610 |
9 | 7071738884218 |
10 | 2002122122120 |
11 | 70210581961a |
12 | 284036793408 |
13 | 116a510c9533 |
14 | 6cc90657c48 |
15 | 3712e4647b5 |
hex | 1d227c72388 |
2002122122120 has 32 divisors (see below), whose sum is σ = 4566484024920. Its totient is φ = 789878315520.
The previous prime is 2002122122107. The next prime is 2002122122149. The reversal of 2002122122120 is 212212212002.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 1770235572004 + 231886550116 = 1330502^2 + 481546^2 .
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 342826211 + ... + 342832050.
Almost surely, 22002122122120 is an apocalyptic number.
2002122122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2002122122120 is an abundant number, since it is smaller than the sum of its proper divisors (2564361902800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2002122122120 is a wasteful number, since it uses less digits than its factorization.
2002122122120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 685658345 (or 685658341 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 17.
Adding to 2002122122120 its reverse (212212212002), we get a palindrome (2214334334122).
The spelling of 2002122122120 in words is "two trillion, two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".
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