Base | Representation |
---|---|
bin | 11110110110010011… |
… | …110111011011000101 |
3 | 10011111102120200202201 |
4 | 132312103313123011 |
5 | 1020314044312013 |
6 | 23114450034501 |
7 | 2251554345661 |
oct | 366623673305 |
9 | 104442520681 |
10 | 33123432133 |
11 | 1305834a900 |
12 | 6504b78a31 |
13 | 317b5057ac |
14 | 18631c18a1 |
15 | cdce503dd |
hex | 7b64f76c5 |
33123432133 has 12 divisors (see below), whose sum is σ = 36453401824. Its totient is φ = 30074992200.
The previous prime is 33123432119. The next prime is 33123432151.
33123432133 is nontrivially palindromic in base 10.
It is a de Polignac number, because none of the positive numbers 2k-33123432133 is a prime.
It is a super-3 number, since 3×331234321333 (a number of 33 digits) contains 333 as substring.
It is a Duffinian number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (33123432103) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70641 + ... + 266902.
Almost surely, 233123432133 is an apocalyptic number.
It is an amenable number.
33123432133 is a deficient number, since it is larger than the sum of its proper divisors (3329969691).
33123432133 is a wasteful number, since it uses less digits than its factorization.
33123432133 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 338376 (or 338365 counting only the distinct ones).
The product of its digits is 11664, while the sum is 28.
The spelling of 33123432133 in words is "thirty-three billion, one hundred twenty-three million, four hundred thirty-two thousand, one hundred thirty-three".
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