Base | Representation |
---|---|
bin | 11110111000010010011… |
… | …000010010101100001000 |
3 | 21111212022101010222021100 |
4 | 132320102120102230020 |
5 | 234231400140431440 |
6 | 4302502112141400 |
7 | 306211455052332 |
oct | 36702230225410 |
9 | 7455271128240 |
10 | 2122022202120 |
11 | 748a43237327 |
12 | 2a3318b37860 |
13 | 12514b69a632 |
14 | 749c65d0452 |
15 | 3a2ea77e230 |
hex | 1ee12612b08 |
2122022202120 has 48 divisors (see below), whose sum is σ = 6896572158060. Its totient is φ = 565872587136.
The previous prime is 2122022202103. The next prime is 2122022202127. The reversal of 2122022202120 is 212022202212.
2122022202120 is a `hidden beast` number, since 212 + 20 + 2 + 220 + 212 + 0 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 2011807497924 + 110214704196 = 1418382^2 + 331986^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2122022202093 and 2122022202102.
It is not an unprimeable number, because it can be changed into a prime (2122022202127) 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 11 ways as a sum of consecutive naturals, for example, 2947252699 + ... + 2947253418.
Almost surely, 22122022202120 is an apocalyptic number.
2122022202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2122022202120 is an abundant number, since it is smaller than the sum of its proper divisors (4774549955940).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122022202120 is a wasteful number, since it uses less digits than its factorization.
2122022202120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5894506134 (or 5894506127 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 2122022202120 its reverse (212022202212), we get a palindrome (2334044404332).
The spelling of 2122022202120 in words is "two trillion, one hundred twenty-two billion, twenty-two million, two hundred two thousand, one hundred twenty".
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