Base | Representation |
---|---|
bin | 11110111000011110010… |
… | …010110110011000000100 |
3 | 21111212211022021221101100 |
4 | 132320132102312120010 |
5 | 234232302324231040 |
6 | 4302534012500100 |
7 | 306216433142016 |
oct | 36703622663004 |
9 | 7455738257340 |
10 | 2122222102020 |
11 | 749036061059 |
12 | 2a3373a7a630 |
13 | 125180c1b1b7 |
14 | 74a04d881b6 |
15 | 3a30d0b8b30 |
hex | 1ee1e4b6604 |
2122222102020 has 72 divisors (see below), whose sum is σ = 6501143801880. Its totient is φ = 560322662400.
The previous prime is 2122222102019. The next prime is 2122222102027. The reversal of 2122222102020 is 202012222212.
2122222102020 is a `hidden beast` number, since 21 + 222 + 221 + 0 + 202 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 500618511936 + 1621603590084 = 707544^2 + 1273422^2 .
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 = 2122222101984 and 2122222102002.
It is not an unprimeable number, because it can be changed into a prime (2122222102027) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58348765 + ... + 58385124.
It is an arithmetic number, because the mean of its divisors is an integer number (90293663915).
Almost surely, 22122222102020 is an apocalyptic number.
2122222102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2122222102020 is an abundant number, since it is smaller than the sum of its proper divisors (4378921699860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122222102020 is a wasteful number, since it uses less digits than its factorization.
2122222102020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 116734005 (or 116734000 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 2122222102020 its reverse (202012222212), we get a palindrome (2324234324232).
The spelling of 2122222102020 in words is "two trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred two thousand, twenty".
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