Base | Representation |
---|---|
bin | 1110101010101… |
… | …11010110110000 |
3 | 22120112010210111 |
4 | 13111113112300 |
5 | 222444304300 |
6 | 20113111104 |
7 | 3022555462 |
oct | 725272660 |
9 | 276463714 |
10 | 123041200 |
11 | 634a9747 |
12 | 35258494 |
13 | 1c650259 |
14 | 124ac132 |
15 | ac069ba |
hex | 75575b0 |
123041200 has 60 divisors (see below), whose sum is σ = 305828640. Its totient is φ = 47514880.
The previous prime is 123041197. The next prime is 123041203. The reversal of 123041200 is 2140321.
It is an interprime number because it is at equal distance from previous prime (123041197) and next prime (123041203).
It is not an unprimeable number, because it can be changed into a prime (123041203) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6297 + ... + 16903.
It is an arithmetic number, because the mean of its divisors is an integer number (5097144).
Almost surely, 2123041200 is an apocalyptic number.
123041200 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 123041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152914320).
123041200 is an abundant number, since it is smaller than the sum of its proper divisors (182787440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123041200 is a wasteful number, since it uses less digits than its factorization.
123041200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10654 (or 10643 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
The square root of 123041200 is about 11092.3937903412. The cubic root of 123041200 is about 497.3745043426.
Adding to 123041200 its reverse (2140321), we get a palindrome (125181521).
The spelling of 123041200 in words is "one hundred twenty-three million, forty-one thousand, two hundred".
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