Base | Representation |
---|---|
bin | 10011000011111000… |
… | …10000110110101101 |
3 | 222102011102110200201 |
4 | 21201330100312231 |
5 | 131424134402341 |
6 | 4411231153501 |
7 | 511405050400 |
oct | 114174206655 |
9 | 28364373621 |
10 | 10233122221 |
11 | 4381370203 |
12 | 1b97075891 |
13 | c710a090a |
14 | 6d10c7d37 |
15 | 3ed5ab331 |
hex | 261f10dad |
10233122221 has 6 divisors (see below), whose sum is σ = 11903836110. Its totient is φ = 8771247576.
The previous prime is 10233122197. The next prime is 10233122269. The reversal of 10233122221 is 12222133201.
10233122221 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 8396056900 + 1837065321 = 91630^2 + 42861^2 .
It is not a de Polignac number, because 10233122221 - 217 = 10232991149 is a prime.
It is a Duffinian number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10233122281) 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 5 ways as a sum of consecutive naturals, for example, 104419566 + ... + 104419663.
It is an arithmetic number, because the mean of its divisors is an integer number (1983972685).
Almost surely, 210233122221 is an apocalyptic number.
It is an amenable number.
10233122221 is a deficient number, since it is larger than the sum of its proper divisors (1670713889).
10233122221 is an equidigital number, since it uses as much as digits as its factorization.
10233122221 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 208839243 (or 208839236 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 19.
Adding to 10233122221 its reverse (12222133201), we get a palindrome (22455255422).
The spelling of 10233122221 in words is "ten billion, two hundred thirty-three million, one hundred twenty-two thousand, two hundred twenty-one".
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