Base | Representation |
---|---|
bin | 110101000011001001110110… |
… | …011010001001101100001001 |
3 | 1010121002112011001200121220000 |
4 | 311003021312122021230021 |
5 | 221040100413201121413 |
6 | 2144114334315353213 |
7 | 100100215411351464 |
oct | 6503116632115411 |
9 | 1117075131617800 |
10 | 233313200020233 |
11 | 68382632a48a03 |
12 | 222017b2752809 |
13 | a0254569c1b88 |
14 | 41885c21602db |
15 | 1be9029a2d073 |
hex | d43276689b09 |
233313200020233 has 40 divisors (see below), whose sum is σ = 357956439559752. Its totient is φ = 151335279224064.
The previous prime is 233313200020211. The next prime is 233313200020247. The reversal of 233313200020233 is 332020002313332.
233313200020233 is a `hidden beast` number, since 2 + 3 + 331 + 320 + 0 + 0 + 2 + 0 + 2 + 3 + 3 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 55029498366969 + 178283701653264 = 7418187^2 + 13352292^2 .
It is not a de Polignac number, because 233313200020233 - 213 = 233313200012041 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 233313200020197 and 233313200020206.
It is not an unprimeable number, because it can be changed into a prime (233313200020133) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 155026191 + ... + 156523947.
Almost surely, 2233313200020233 is an apocalyptic number.
It is an amenable number.
233313200020233 is a deficient number, since it is larger than the sum of its proper divisors (124643239539519).
233313200020233 is a wasteful number, since it uses less digits than its factorization.
233313200020233 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1549783 (or 1549774 counting only the distinct ones).
The product of its (nonzero) digits is 11664, while the sum is 27.
Adding to 233313200020233 its reverse (332020002313332), we get a palindrome (565333202333565).
The spelling of 233313200020233 in words is "two hundred thirty-three trillion, three hundred thirteen billion, two hundred million, twenty thousand, two hundred thirty-three".
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