Base | Representation |
---|---|
bin | 11110100011110010011… |
… | …110111000001001011101 |
3 | 21102202111110111002022012 |
4 | 132203302132320021131 |
5 | 233401311112033041 |
6 | 4244422102001005 |
7 | 304502155233251 |
oct | 36436236701135 |
9 | 7382443432265 |
10 | 2100012221021 |
11 | 73a679173800 |
12 | 29abb5a16165 |
13 | 123051762590 |
14 | 738d93b2261 |
15 | 3995d32d3eb |
hex | 1e8f27b825d |
2100012221021 has 24 divisors (see below), whose sum is σ = 2486119348440. Its totient is φ = 1762048379520.
The previous prime is 2100012220987. The next prime is 2100012221123. The reversal of 2100012221021 is 1201222100012.
It can be written as a sum of positive squares in 4 ways, for example, as 210143395396 + 1889868825625 = 458414^2 + 1374725^2 .
It is a de Polignac number, because none of the positive numbers 2k-2100012221021 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 2100012220987 and 2100012221005.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2100012221221) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14735735 + ... + 14877563.
It is an arithmetic number, because the mean of its divisors is an integer number (103588306185).
Almost surely, 22100012221021 is an apocalyptic number.
It is an amenable number.
2100012221021 is a deficient number, since it is larger than the sum of its proper divisors (386107127419).
2100012221021 is a wasteful number, since it uses less digits than its factorization.
2100012221021 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 151277 (or 151266 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 14.
Adding to 2100012221021 its reverse (1201222100012), we get a palindrome (3301234321033).
The spelling of 2100012221021 in words is "two trillion, one hundred billion, twelve million, two hundred twenty-one thousand, twenty-one".
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