Base | Representation |
---|---|
bin | 1110101101101… |
… | …00001010000000 |
3 | 22121020110012201 |
4 | 13112310022000 |
5 | 223043440222 |
6 | 20125202544 |
7 | 3026030620 |
oct | 726641200 |
9 | 277213181 |
10 | 123421312 |
11 | 63739293 |
12 | 35400454 |
13 | 1c754281 |
14 | 1256a880 |
15 | ac7e427 |
hex | 75b4280 |
123421312 has 128 divisors (see below), whose sum is σ = 301397760. Its totient is φ = 49201152.
The previous prime is 123421271. The next prime is 123421327. The reversal of 123421312 is 213124321.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a self number, because there is not a number n which added to its sum of digits gives 123421312.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1092168 + ... + 1092280.
It is an arithmetic number, because the mean of its divisors is an integer number (2354670).
Almost surely, 2123421312 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 123421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150698880).
123421312 is an abundant number, since it is smaller than the sum of its proper divisors (177976448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123421312 is a wasteful number, since it uses less digits than its factorization.
123421312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 210 (or 198 counting only the distinct ones).
The product of its digits is 288, while the sum is 19.
The square root of 123421312 is about 11109.5144808403. The cubic root of 123421312 is about 497.8861586096.
Adding to 123421312 its reverse (213124321), we get a palindrome (336545633).
The spelling of 123421312 in words is "one hundred twenty-three million, four hundred twenty-one thousand, three hundred twelve".
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