Base | Representation |
---|---|
bin | 10110111110001110… |
… | …01010001011000000 |
3 | 1011211111221221101121 |
4 | 23133013022023000 |
5 | 200224240133212 |
6 | 5355445442024 |
7 | 614424610330 |
oct | 133707121300 |
9 | 34744857347 |
10 | 12333130432 |
11 | 5259804487 |
12 | 2482410314 |
13 | 121719241c |
14 | 84dd770c0 |
15 | 4c2b25d07 |
hex | 2df1ca2c0 |
12333130432 has 112 divisors (see below), whose sum is σ = 29497162240. Its totient is φ = 4998039552.
The previous prime is 12333130429. The next prime is 12333130477. The reversal of 12333130432 is 23403133321.
It is a tau number, because it is divible by the number of its divisors (112).
It is a super-3 number, since 3×123331304323 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 12333130397 and 12333130406.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6187228 + ... + 6189220.
It is an arithmetic number, because the mean of its divisors is an integer number (263367520).
Almost surely, 212333130432 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 12333130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14748581120).
12333130432 is an abundant number, since it is smaller than the sum of its proper divisors (17164031808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12333130432 is a wasteful number, since it uses less digits than its factorization.
12333130432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2758 (or 2748 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 25.
Adding to 12333130432 its reverse (23403133321), we get a palindrome (35736263753).
The spelling of 12333130432 in words is "twelve billion, three hundred thirty-three million, one hundred thirty thousand, four hundred thirty-two".
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