Base | Representation |
---|---|
bin | 10001110011010011110… |
… | …000001010011100000111 |
3 | 11022221121111200001101000 |
4 | 101303103300022130013 |
5 | 130020331233032221 |
6 | 2333553104304343 |
7 | 154245043511415 |
oct | 21632360123407 |
9 | 4287544601330 |
10 | 1223323330311 |
11 | 431899145395 |
12 | 1791086120b3 |
13 | 8b488652b84 |
14 | 432cdd402b5 |
15 | 21c4c5b6e26 |
hex | 11cd3c0a707 |
1223323330311 has 32 divisors (see below), whose sum is σ = 1835774021120. Its totient is φ = 805050073152.
The previous prime is 1223323330291. The next prime is 1223323330319. The reversal of 1223323330311 is 1130333233221.
1223323330311 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 323 + 330 + 3 + 1 + 1 = 666.
It is not a de Polignac number, because 1223323330311 - 227 = 1223189112583 is a prime.
It is a super-3 number, since 3×12233233303113 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a Duffinian number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1223323330319) 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 31 ways as a sum of consecutive naturals, for example, 167760 + ... + 1573146.
It is an arithmetic number, because the mean of its divisors is an integer number (57367938160).
Almost surely, 21223323330311 is an apocalyptic number.
1223323330311 is a deficient number, since it is larger than the sum of its proper divisors (612450690809).
1223323330311 is a wasteful number, since it uses less digits than its factorization.
1223323330311 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1405812 (or 1405806 counting only the distinct ones).
The product of its (nonzero) digits is 5832, while the sum is 27.
Adding to 1223323330311 its reverse (1130333233221), we get a palindrome (2353656563532).
The spelling of 1223323330311 in words is "one trillion, two hundred twenty-three billion, three hundred twenty-three million, three hundred thirty thousand, three hundred eleven".
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