Base | Representation |
---|---|
bin | 111001010101100100… |
… | …0001011001010011100 |
3 | 102202211011001202010221 |
4 | 1302223020023022130 |
5 | 4004132303143400 |
6 | 132322030011124 |
7 | 11616164563024 |
oct | 1625310131234 |
9 | 382734052127 |
10 | 123130131100 |
11 | 48245826a29 |
12 | 1ba44046aa4 |
13 | b7c3831c52 |
14 | 5d60d44a84 |
15 | 3309ba1c1a |
hex | 1cab20b29c |
123130131100 has 36 divisors (see below), whose sum is σ = 267879339000. Its totient is φ = 49125424960.
The previous prime is 123130131077. The next prime is 123130131121. The reversal of 123130131100 is 1131031321.
123130131100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×1231301311003 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 11 ways as a sum of consecutive naturals, for example, 1543750 + ... + 1621549.
It is an arithmetic number, because the mean of its divisors is an integer number (7441092750).
Almost surely, 2123130131100 is an apocalyptic number.
123130131100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
123130131100 is an abundant number, since it is smaller than the sum of its proper divisors (144749207900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123130131100 is a wasteful number, since it uses less digits than its factorization.
123130131100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3165702 (or 3165695 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 16.
Adding to 123130131100 its reverse (1131031321), we get a palindrome (124261162421).
The spelling of 123130131100 in words is "one hundred twenty-three billion, one hundred thirty million, one hundred thirty-one thousand, one hundred".
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