| Base | Representation |
|---|---|
| bin | 10110100011001011… |
| … | …00111010001111000 |
| 3 | 1011020201000100120020 |
| 4 | 23101211213101320 |
| 5 | 144243143423302 |
| 6 | 5321142330440 |
| 7 | 606001165542 |
| oct | 132145472170 |
| 9 | 34221010506 |
| 10 | 12106232952 |
| 11 | 5152720000 |
| 12 | 241a429a20 |
| 13 | 11ac17b368 |
| 14 | 82bb92692 |
| 15 | 4acc56ebc |
| hex | 2d1967478 |
12106232952 has 160 divisors (see below), whose sum is σ = 33673622400. Its totient is φ = 3626708800.
The previous prime is 12106232947. The next prime is 12106232953. The reversal of 12106232952 is 25923260121.
12106232952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12106232953) 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 39 ways as a sum of consecutive naturals, for example, 46031173 + ... + 46031435.
It is an arithmetic number, because the mean of its divisors is an integer number (210460140).
Almost surely, 212106232952 is an apocalyptic number.
12106232952 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 12106232952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16836811200).
12106232952 is an abundant number, since it is smaller than the sum of its proper divisors (21567389448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12106232952 is a wasteful number, since it uses less digits than its factorization.
12106232952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 447 (or 410 counting only the distinct ones).
The product of its (nonzero) digits is 12960, while the sum is 33.
The spelling of 12106232952 in words is "twelve billion, one hundred six million, two hundred thirty-two thousand, nine hundred fifty-two".
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