Base | Representation |
---|---|
bin | 1110101011001… |
… | …10011110000000 |
3 | 22120122021201020 |
4 | 13111212132000 |
5 | 223003244404 |
6 | 20114305440 |
7 | 3023234115 |
oct | 725463600 |
9 | 276567636 |
10 | 123103104 |
11 | 63541203 |
12 | 35288280 |
13 | 1c672497 |
14 | 124c690c |
15 | ac19ed9 |
hex | 7566780 |
123103104 has 64 divisors (see below), whose sum is σ = 330002640. Its totient is φ = 40656896.
The previous prime is 123103081. The next prime is 123103111. The reversal of 123103104 is 401301321.
It is a tau number, because it is divible by the number of its divisors (64).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41974 + ... + 44810.
Almost surely, 2123103104 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 123103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165001320).
123103104 is an abundant number, since it is smaller than the sum of its proper divisors (206899536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123103104 is a wasteful number, since it uses less digits than its factorization.
123103104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2967 (or 2955 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
The square root of 123103104 is about 11095.1838200185. The cubic root of 123103104 is about 497.4579027198.
Adding to 123103104 its reverse (401301321), we get a palindrome (524404425).
The spelling of 123103104 in words is "one hundred twenty-three million, one hundred three thousand, one hundred four".
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