Base | Representation |
---|---|
bin | 1110101010011… |
… | …01010111111000 |
3 | 22120110001201010 |
4 | 13111031113320 |
5 | 222442002222 |
6 | 20112153520 |
7 | 3022325331 |
oct | 725152770 |
9 | 276401633 |
10 | 123000312 |
11 | 63480a56 |
12 | 352388a0 |
13 | 1c637766 |
14 | 1249b288 |
15 | abe980c |
hex | 754d5f8 |
123000312 has 48 divisors (see below), whose sum is σ = 317799720. Its totient is φ = 39670080.
The previous prime is 123000307. The next prime is 123000323. The reversal of 123000312 is 213000321.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20398 + ... + 25730.
Almost surely, 2123000312 is an apocalyptic number.
123000312 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 123000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158899860).
123000312 is an abundant number, since it is smaller than the sum of its proper divisors (194799408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123000312 is a wasteful number, since it uses less digits than its factorization.
123000312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5404 (or 5369 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 123000312 is about 11090.5505724468. The cubic root of 123000312 is about 497.3194038239.
Adding to 123000312 its reverse (213000321), we get a palindrome (336000633).
Subtracting 123000312 from its reverse (213000321), we obtain a palindrome (90000009).
The spelling of 123000312 in words is "one hundred twenty-three million, three hundred twelve", and thus it is an aban number.
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