Base | Representation |
---|---|
bin | 111001010001110010… |
… | …0110100110100000000 |
3 | 102202111022122100200101 |
4 | 1302203210310310000 |
5 | 4003402334032000 |
6 | 132301302132144 |
7 | 11613065565412 |
oct | 1624344646400 |
9 | 382438570611 |
10 | 123003424000 |
11 | 48190254016 |
12 | 1ba09721054 |
13 | b7a34ca232 |
14 | 5d4c1a09b2 |
15 | 32ed9c3e6a |
hex | 1ca3934d00 |
123003424000 has 288 divisors, whose sum is σ = 314573366016. Its totient is φ = 47910297600.
The previous prime is 123003423989. The next prime is 123003424001. The reversal of 123003424000 is 424300321.
123003424000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (123003424001) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220831722 + ... + 220832278.
It is an arithmetic number, because the mean of its divisors is an integer number (1092268632).
Almost surely, 2123003424000 is an apocalyptic number.
123003424000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 123003424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157286683008).
123003424000 is an abundant number, since it is smaller than the sum of its proper divisors (191569942016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123003424000 is an equidigital number, since it uses as much as digits as its factorization.
123003424000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 758 (or 734 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 19.
Adding to 123003424000 its reverse (424300321), we get a palindrome (123427724321).
The spelling of 123003424000 in words is "one hundred twenty-three billion, three million, four hundred twenty-four thousand".
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