Base | Representation |
---|---|
bin | 1100111111001111001… |
… | …0000000000100111101 |
3 | 210022221112200020120011 |
4 | 3033303302000010331 |
5 | 12123434111144401 |
6 | 250301145023221 |
7 | 22056310532242 |
oct | 3176362000475 |
9 | 708845606504 |
10 | 223133303101 |
11 | 866a2a29215 |
12 | 372b2a84b11 |
13 | 1806cbb23c7 |
14 | ab2a58d5c9 |
15 | 5c0e316451 |
hex | 33f3c8013d |
223133303101 has 2 divisors, whose sum is σ = 223133303102. Its totient is φ = 223133303100.
The previous prime is 223133303047. The next prime is 223133303153. The reversal of 223133303101 is 101303331322.
223133303101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 210154397476 + 12978905625 = 458426^2 + 113925^2 .
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-223133303101 is a prime.
It is a super-3 number, since 3×2231333031013 (a number of 35 digits) contains 333 as substring.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (223133303171) 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 as a sum of consecutive naturals, namely, 111566651550 + 111566651551.
It is an arithmetic number, because the mean of its divisors is an integer number (111566651551).
Almost surely, 2223133303101 is an apocalyptic number.
It is an amenable number.
223133303101 is a deficient number, since it is larger than the sum of its proper divisors (1).
223133303101 is an equidigital number, since it uses as much as digits as its factorization.
223133303101 is an odious number, because the sum of its binary digits is odd.
The product of its (nonzero) digits is 972, while the sum is 22.
Adding to 223133303101 its reverse (101303331322), we get a palindrome (324436634423).
The spelling of 223133303101 in words is "two hundred twenty-three billion, one hundred thirty-three million, three hundred three thousand, one hundred one".
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