Base | Representation |
---|---|
bin | 110010101110101110011000… |
… | …111000001110111001100001 |
3 | 1002020222102020200110210020202 |
4 | 302232232120320032321201 |
5 | 213220441344114100413 |
6 | 2110304445304314545 |
7 | 64665253566261464 |
oct | 6256563070167141 |
9 | 1066872220423222 |
10 | 223113231003233 |
11 | 650aa87639577a |
12 | 21034a09772a55 |
13 | 9765644aa4a2c |
14 | 3d14a490d72db |
15 | 1abda49235e58 |
hex | caeb98e0ee61 |
223113231003233 has 2 divisors, whose sum is σ = 223113231003234. Its totient is φ = 223113231003232.
The previous prime is 223113231003119. The next prime is 223113231003337. The reversal of 223113231003233 is 332300132311322.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 215856979653184 + 7256251350049 = 14692072^2 + 2693743^2 .
It is a cyclic number.
It is not a de Polignac number, because 223113231003233 - 210 = 223113231002209 is a prime.
It is a super-3 number, since 3×2231132310032333 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Sophie Germain prime.
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 223113231003196 and 223113231003205.
It is not a weakly prime, because it can be changed into another prime (223113231083233) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111556615501616 + 111556615501617.
It is an arithmetic number, because the mean of its divisors is an integer number (111556615501617).
Almost surely, 2223113231003233 is an apocalyptic number.
It is an amenable number.
223113231003233 is a deficient number, since it is larger than the sum of its proper divisors (1).
223113231003233 is an equidigital number, since it uses as much as digits as its factorization.
223113231003233 is an odious number, because the sum of its binary digits is odd.
The product of its (nonzero) digits is 11664, while the sum is 29.
Adding to 223113231003233 its reverse (332300132311322), we get a palindrome (555413363314555).
The spelling of 223113231003233 in words is "two hundred twenty-three trillion, one hundred thirteen billion, two hundred thirty-one million, three thousand, two hundred thirty-three".
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