Base | Representation |
---|---|
bin | 1001010011101001101110… |
… | …0100000100000011010101 |
3 | 1100020021201211121111001100 |
4 | 2110322123210010003111 |
5 | 2320130114314140313 |
6 | 33433024410220313 |
7 | 2104216531665333 |
oct | 224723344040325 |
9 | 40207654544040 |
10 | 10233222021333 |
11 | 32959810625a3 |
12 | 1193325424699 |
13 | 592cb121b78c |
14 | 27540d536b53 |
15 | 12b2c9cde173 |
hex | 94e9b9040d5 |
10233222021333 has 48 divisors (see below), whose sum is σ = 15700453859376. Its totient is φ = 6400510771200.
The previous prime is 10233222021329. The next prime is 10233222021349. The reversal of 10233222021333 is 33312022233201.
10233222021333 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 322 + 2 + 0 + 2 + 1 + 333 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 3063557091204 + 7169664930129 = 1750302^2 + 2677623^2 .
It is not a de Polignac number, because 10233222021333 - 22 = 10233222021329 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 10233222021297 and 10233222021306.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10233222021313) 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, 61340233 + ... + 61506833.
It is an arithmetic number, because the mean of its divisors is an integer number (327092788737).
Almost surely, 210233222021333 is an apocalyptic number.
It is an amenable number.
10233222021333 is a deficient number, since it is larger than the sum of its proper divisors (5467231838043).
10233222021333 is a wasteful number, since it uses less digits than its factorization.
10233222021333 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 167894 (or 167891 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 27.
Adding to 10233222021333 its reverse (33312022233201), we get a palindrome (43545244254534).
The spelling of 10233222021333 in words is "ten trillion, two hundred thirty-three billion, two hundred twenty-two million, twenty-one thousand, three hundred thirty-three".
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