Base | Representation |
---|---|
bin | 1110101011010… |
… | …11010110111100 |
3 | 22120200022012000 |
4 | 13111223112330 |
5 | 223004420012 |
6 | 20114542300 |
7 | 3023346366 |
oct | 725532674 |
9 | 276608160 |
10 | 123123132 |
11 | 63555260 |
12 | 35297990 |
13 | 1c67b632 |
14 | 124cdd36 |
15 | ac20ddc |
hex | 756b5bc |
123123132 has 96 divisors (see below), whose sum is σ = 354144000. Its totient is φ = 36676800.
The previous prime is 123123107. The next prime is 123123137. The reversal of 123123132 is 231321321.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (123123137) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71619 + ... + 73317.
It is an arithmetic number, because the mean of its divisors is an integer number (3689000).
Almost surely, 2123123132 is an apocalyptic number.
123123132 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 123123132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177072000).
123123132 is an abundant number, since it is smaller than the sum of its proper divisors (231020868).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123123132 is a wasteful number, since it uses less digits than its factorization.
123123132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1784 (or 1776 counting only the distinct ones).
The product of its digits is 216, while the sum is 18.
The square root of 123123132 is about 11096.0863370830. The cubic root of 123123132 is about 497.4848788785.
Adding to 123123132 its reverse (231321321), we get a palindrome (354444453).
The spelling of 123123132 in words is "one hundred twenty-three million, one hundred twenty-three thousand, one hundred thirty-two".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.069 sec. • engine limits •