Base | Representation |
---|---|
bin | 1110101010011… |
… | …01010101000100 |
3 | 22120110001110110 |
4 | 13111031111010 |
5 | 222442001012 |
6 | 20112153020 |
7 | 3022324653 |
oct | 725152504 |
9 | 276401413 |
10 | 123000132 |
11 | 63480902 |
12 | 35238770 |
13 | 1c637658 |
14 | 1249b19a |
15 | abe973c |
hex | 754d544 |
123000132 has 24 divisors (see below), whose sum is σ = 291866400. Its totient is φ = 40304896.
The previous prime is 123000037. The next prime is 123000133. The reversal of 123000132 is 231000321.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (123000133) 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 7 ways as a sum of consecutive naturals, for example, 86157 + ... + 87572.
It is an arithmetic number, because the mean of its divisors is an integer number (12161100).
Almost surely, 2123000132 is an apocalyptic number.
123000132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
123000132 is an abundant number, since it is smaller than the sum of its proper divisors (168866268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123000132 is a wasteful number, since it uses less digits than its factorization.
123000132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 173795 (or 173793 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 123000132 is about 11090.5424574274. The cubic root of 123000132 is about 497.3191612295.
Adding to 123000132 its reverse (231000321), we get a palindrome (354000453).
The spelling of 123000132 in words is "one hundred twenty-three million, one hundred thirty-two", and thus it is an aban number.
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