Base | Representation |
---|---|
bin | 1110101100110… |
… | …01000011110000 |
3 | 22121000210221220 |
4 | 13112121003300 |
5 | 223031412240 |
6 | 20122545040 |
7 | 3025056210 |
oct | 726310360 |
9 | 277023856 |
10 | 123310320 |
11 | 63672961 |
12 | 35368180 |
13 | 1c7158b3 |
14 | 1253c240 |
15 | ac5b5d0 |
hex | 75990f0 |
123310320 has 160 divisors (see below), whose sum is σ = 452113920. Its totient is φ = 27202560.
The previous prime is 123310249. The next prime is 123310321. The reversal of 123310320 is 23013321.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 123310320.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (123310321) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 47455 + ... + 49985.
It is an arithmetic number, because the mean of its divisors is an integer number (2825712).
Almost surely, 2123310320 is an apocalyptic number.
123310320 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 123310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226056960).
123310320 is an abundant number, since it is smaller than the sum of its proper divisors (328803600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123310320 is a wasteful number, since it uses less digits than its factorization.
123310320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2583 (or 2577 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
The square root of 123310320 is about 11104.5179994451. The cubic root of 123310320 is about 497.7368652304.
Adding to 123310320 its reverse (23013321), we get a palindrome (146323641).
The spelling of 123310320 in words is "one hundred twenty-three million, three hundred ten thousand, three hundred twenty".
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