Base | Representation |
---|---|
bin | 111001011110100000… |
… | …0111100010010000000 |
3 | 102210121001202002121201 |
4 | 1302331000330102000 |
5 | 4010241114200044 |
6 | 132411510030544 |
7 | 11626500413311 |
oct | 1627500742200 |
9 | 383531662551 |
10 | 123430225024 |
11 | 4838a164a37 |
12 | 1bb08648454 |
13 | b840a63712 |
14 | 5d8cb40608 |
15 | 33261cd7d4 |
hex | 1cbd03c480 |
123430225024 has 128 divisors (see below), whose sum is σ = 270094694400. Its totient is φ = 55924506624.
The previous prime is 123430225021. The next prime is 123430225031. The reversal of 123430225024 is 420522034321.
123430225024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (128).
It is a junction number, because it is equal to n+sod(n) for n = 123430224983 and 123430225001.
It is not an unprimeable number, because it can be changed into a prime (123430225021) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24166279 + ... + 24171385.
It is an arithmetic number, because the mean of its divisors is an integer number (2110114800).
Almost surely, 2123430225024 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 123430225024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135047347200).
123430225024 is an abundant number, since it is smaller than the sum of its proper divisors (146664469376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123430225024 is a wasteful number, since it uses less digits than its factorization.
123430225024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5550 (or 5538 counting only the distinct ones).
The product of its (nonzero) digits is 11520, while the sum is 28.
Adding to 123430225024 its reverse (420522034321), we get a palindrome (543952259345).
The spelling of 123430225024 in words is "one hundred twenty-three billion, four hundred thirty million, two hundred twenty-five thousand, twenty-four".
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