Base | Representation |
---|---|
bin | 1100010010011100110… |
… | …0111011111010000001 |
3 | 202011220200210001022212 |
4 | 3010213030323322001 |
5 | 11424323420200113 |
6 | 240552203311505 |
7 | 21152346512441 |
oct | 3044714737201 |
9 | 664820701285 |
10 | 211111100033 |
11 | 815937920a9 |
12 | 34ab881b595 |
13 | 16ba5275792 |
14 | a309a32121 |
15 | 5758b5c0a8 |
hex | 312733be81 |
211111100033 has 4 divisors (see below), whose sum is σ = 211932544260. Its totient is φ = 210289655808.
The previous prime is 211111100029. The next prime is 211111100071. The reversal of 211111100033 is 330001111112.
It is a happy number.
211111100033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a semiprime because it is the product of two primes.
It can be written as a sum of positive squares in 2 ways, for example, as 128843666704 + 82267433329 = 358948^2 + 286823^2 .
It is a cyclic number.
It is not a de Polignac number, because 211111100033 - 22 = 211111100029 is a prime.
It is a super-3 number, since 3×2111111000333 (a number of 35 digits) contains 333 as substring.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 211111099990 and 211111100017.
It is not an unprimeable number, because it can be changed into a prime (211111100023) 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 3 ways as a sum of consecutive naturals, for example, 410721728 + ... + 410722241.
It is an arithmetic number, because the mean of its divisors is an integer number (52983136065).
Almost surely, 2211111100033 is an apocalyptic number.
It is an amenable number.
211111100033 is a deficient number, since it is larger than the sum of its proper divisors (821444227).
211111100033 is an equidigital number, since it uses as much as digits as its factorization.
211111100033 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 821444226.
The product of its (nonzero) digits is 18, while the sum is 14.
Adding to 211111100033 its reverse (330001111112), we get a palindrome (541112211145).
The spelling of 211111100033 in words is "two hundred eleven billion, one hundred eleven million, one hundred thousand, thirty-three".
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