Base | Representation |
---|---|
bin | 1011000010000111111101… |
… | …0010100111101000000000 |
3 | 1120221201112211120102000000 |
4 | 2300201333102213220000 |
5 | 3042224020021344412 |
6 | 41444543332000000 |
7 | 2361305354050335 |
oct | 260417722475000 |
9 | 46851484512000 |
10 | 12131123231232 |
11 | 3957864896205 |
12 | 143b114760000 |
13 | 69cc631ba185 |
14 | 2dd21431298c |
15 | 1608596a84dc |
hex | b087f4a7a00 |
12131123231232 has 140 divisors (see below), whose sum is σ = 36341205889890. Its totient is φ = 4043707619328.
The previous prime is 12131123231147. The next prime is 12131123231233. The reversal of 12131123231232 is 23213232113121.
12131123231232 is a `hidden beast` number, since 1 + 2 + 1 + 311 + 2 + 3 + 2 + 312 + 32 = 666.
It can be written as a sum of positive squares in only one way, i.e., 7950505072896 + 4180618158336 = 2819664^2 + 2044656^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 12131123231196 and 12131123231205.
It is not an unprimeable number, because it can be changed into a prime (12131123231233) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15877507 + ... + 16624002.
Almost surely, 212131123231232 is an apocalyptic number.
12131123231232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
12131123231232 is an abundant number, since it is smaller than the sum of its proper divisors (24210082658658).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12131123231232 is an frugal number, since it uses more digits than its factorization.
12131123231232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 32501545 (or 32501514 counting only the distinct ones).
The product of its digits is 2592, while the sum is 27.
Adding to 12131123231232 its reverse (23213232113121), we get a palindrome (35344355344353).
The spelling of 12131123231232 in words is "twelve trillion, one hundred thirty-one billion, one hundred twenty-three million, two hundred thirty-one thousand, two hundred thirty-two".
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