Base | Representation |
---|---|
bin | 1110101010011… |
… | …11110001010000 |
3 | 22120110120011200 |
4 | 13111033301100 |
5 | 222442311003 |
6 | 20112311200 |
7 | 3022366053 |
oct | 725176120 |
9 | 276416150 |
10 | 123010128 |
11 | 6348836a |
12 | 35242500 |
13 | 1c63c077 |
14 | 124a0a9a |
15 | abec6a3 |
hex | 754fc50 |
123010128 has 60 divisors (see below), whose sum is σ = 346513908. Its totient is φ = 40734720.
The previous prime is 123010109. The next prime is 123010157. The reversal of 123010128 is 821010321.
It can be written as a sum of positive squares in 2 ways, for example, as 62916624 + 60093504 = 7932^2 + 7752^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 123010128.
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, 19888 + ... + 25328.
Almost surely, 2123010128 is an apocalyptic number.
123010128 is a gapful number since it is divisible by the number (18) 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 123010128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173256954).
123010128 is an abundant number, since it is smaller than the sum of its proper divisors (223503780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123010128 is a wasteful number, since it uses less digits than its factorization.
123010128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5612 (or 5603 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
The square root of 123010128 is about 11090.9931025134. The cubic root of 123010128 is about 497.3326329432.
Adding to 123010128 its reverse (821010321), we get a palindrome (944020449).
The spelling of 123010128 in words is "one hundred twenty-three million, ten thousand, one hundred twenty-eight".
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