Base | Representation |
---|---|
bin | 1010000000010100000110… |
… | …00010101110011111011001 |
3 | 2212220021110222112112220212 |
4 | 11000022003002232133121 |
5 | 10340431042340120441 |
6 | 114443043551100505 |
7 | 4430343545036003 |
oct | 500120302563731 |
9 | 85807428475825 |
10 | 22001021020121 |
11 | 7012642889400 |
12 | 2573b41511735 |
13 | c378c2234b10 |
14 | 560bd856b373 |
15 | 28246c7e7eeb |
hex | 1402830ae7d9 |
22001021020121 has 48 divisors (see below), whose sum is σ = 26751669899472. Its totient is φ = 17960299568640.
The previous prime is 22001021020093. The next prime is 22001021020129. The reversal of 22001021020121 is 12102012010022.
It can be written as a sum of positive squares in 8 ways, for example, as 7359752521 + 21993661267600 = 85789^2 + 4689740^2 .
It is not a de Polignac number, because 22001021020121 - 222 = 22001016825817 is a prime.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 22001021020096 and 22001021020105.
It is not an unprimeable number, because it can be changed into a prime (22001021020129) 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 47 ways as a sum of consecutive naturals, for example, 372282251 + ... + 372341343.
It is an arithmetic number, because the mean of its divisors is an integer number (557326456239).
Almost surely, 222001021020121 is an apocalyptic number.
It is an amenable number.
22001021020121 is a deficient number, since it is larger than the sum of its proper divisors (4750648879351).
22001021020121 is a wasteful number, since it uses less digits than its factorization.
22001021020121 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 65562 (or 65551 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 14.
Adding to 22001021020121 its reverse (12102012010022), we get a palindrome (34103033030143).
It can be divided in two parts, 2200102 and 1020121, that added together give a palindrome (3220223).
The spelling of 22001021020121 in words is "twenty-two trillion, one billion, twenty-one million, twenty thousand, one hundred twenty-one".
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