Base | Representation |
---|---|
bin | 1000101011100100… |
… | …0000110000101101 |
3 | 20000101200111000200 |
4 | 2022321000300231 |
5 | 14233012414013 |
6 | 1023120144113 |
7 | 111513245211 |
oct | 21271006055 |
9 | 6011614020 |
10 | 2330201133 |
11 | a96379667 |
12 | 550468039 |
13 | 2b19ba850 |
14 | 181690941 |
15 | d9889e73 |
hex | 8ae40c2d |
2330201133 has 48 divisors (see below), whose sum is σ = 3743354160. Its totient is φ = 1387487232.
The previous prime is 2330201129. The next prime is 2330201161. The reversal of 2330201133 is 3311020332.
2330201133 is a `hidden beast` number, since 2 + 330 + 201 + 133 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 3392964 + 2326808169 = 1842^2 + 48237^2 .
It is not a de Polignac number, because 2330201133 - 22 = 2330201129 is a prime.
It is a super-3 number, since 3×23302011333 (a number of 29 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2330201633) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834103 + ... + 836891.
It is an arithmetic number, because the mean of its divisors is an integer number (77986545).
Almost surely, 22330201133 is an apocalyptic number.
It is an amenable number.
2330201133 is a deficient number, since it is larger than the sum of its proper divisors (1413153027).
2330201133 is a wasteful number, since it uses less digits than its factorization.
2330201133 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3038 (or 3035 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
The square root of 2330201133 is about 48272.1569126551. The cubic root of 2330201133 is about 1325.7586509547.
Adding to 2330201133 its reverse (3311020332), we get a palindrome (5641221465).
The spelling of 2330201133 in words is "two billion, three hundred thirty million, two hundred one thousand, one hundred thirty-three".
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