Base | Representation |
---|---|
bin | 1110101010101… |
… | …00101100101000 |
3 | 22120111120212020 |
4 | 13111110230220 |
5 | 222443432222 |
6 | 20112544440 |
7 | 3022511646 |
oct | 725245450 |
9 | 276446766 |
10 | 123030312 |
11 | 634a1549 |
12 | 35252120 |
13 | 1c648302 |
14 | 124a8196 |
15 | ac0365c |
hex | 7554b28 |
123030312 has 64 divisors (see below), whose sum is σ = 324103680. Its totient is φ = 38841792.
The previous prime is 123030287. The next prime is 123030329. The reversal of 123030312 is 213030321.
It is a junction number, because it is equal to n+sod(n) for n = 123030291 and 123030300.
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 15 ways as a sum of consecutive naturals, for example, 58023 + ... + 60105.
It is an arithmetic number, because the mean of its divisors is an integer number (5064120).
Almost surely, 2123030312 is an apocalyptic number.
123030312 is a gapful number since it is divisible by the number (12) 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 123030312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162051840).
123030312 is an abundant number, since it is smaller than the sum of its proper divisors (201073368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123030312 is a wasteful number, since it uses less digits than its factorization.
123030312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2222 (or 2218 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
The square root of 123030312 is about 11091.9029927240. The cubic root of 123030312 is about 497.3598329064.
Adding to 123030312 its reverse (213030321), we get a palindrome (336060633).
Subtracting 123030312 from its reverse (213030321), we obtain a palindrome (90000009).
The spelling of 123030312 in words is "one hundred twenty-three million, thirty thousand, three hundred twelve".
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