Base | Representation |
---|---|
bin | 10101100010110110… |
… | …100101100100110100 |
3 | 2012201012102002002200 |
4 | 111202312211210310 |
5 | 334334112011312 |
6 | 14343255104500 |
7 | 1446156630123 |
oct | 254266454464 |
9 | 65635362080 |
10 | 23133313332 |
11 | 98a1174778 |
12 | 4597372130 |
13 | 2248897aac |
14 | 11964b1aba |
15 | 905d950dc |
hex | 562da5934 |
23133313332 has 72 divisors (see below), whose sum is σ = 59968900992. Its totient is φ = 7515590400.
The previous prime is 23133313327. The next prime is 23133313349. The reversal of 23133313332 is 23331333132.
23133313332 is a `hidden beast` number, since 2 + 3 + 13 + 3 + 313 + 332 = 666.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 23133313296 and 23133313305.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379407 + ... + 436137.
Almost surely, 223133313332 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23133313332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29984450496).
23133313332 is an abundant number, since it is smaller than the sum of its proper divisors (36835587660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23133313332 is a wasteful number, since it uses less digits than its factorization.
23133313332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 57029 (or 57024 counting only the distinct ones).
The product of its digits is 8748, while the sum is 27.
Adding to 23133313332 its reverse (23331333132), we get a palindrome (46464646464).
The spelling of 23133313332 in words is "twenty-three billion, one hundred thirty-three million, three hundred thirteen thousand, three hundred thirty-two".
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