Base | Representation |
---|---|
bin | 1010111100010111100011… |
… | …1010100110000011011001 |
3 | 1120121021021221022111001200 |
4 | 2233011320322212003121 |
5 | 3034114002344202413 |
6 | 41331310414104413 |
7 | 2351204632460553 |
oct | 257057072460331 |
9 | 46537257274050 |
10 | 12032232022233 |
11 | 391992832a205 |
12 | 1423b161ab109 |
13 | 6938333188a7 |
14 | 2d851263c4d3 |
15 | 15cebc98e573 |
hex | af178ea60d9 |
12032232022233 has 48 divisors (see below), whose sum is σ = 18852386965776. Its totient is φ = 7364984647680.
The previous prime is 12032232022231. The next prime is 12032232022247. The reversal of 12032232022233 is 33222023223021.
12032232022233 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 223 + 202 + 2 + 233 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 108111412809 + 11924120609424 = 328803^2 + 3453132^2 .
It is not a de Polignac number, because 12032232022233 - 21 = 12032232022231 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 12032232022197 and 12032232022206.
It is not an unprimeable number, because it can be changed into a prime (12032232022231) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102398191 + ... + 102515627.
It is an arithmetic number, because the mean of its divisors is an integer number (392758061787).
Almost surely, 212032232022233 is an apocalyptic number.
It is an amenable number.
12032232022233 is a deficient number, since it is larger than the sum of its proper divisors (6820154943543).
12032232022233 is a wasteful number, since it uses less digits than its factorization.
12032232022233 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 133834 (or 133831 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 27.
Adding to 12032232022233 its reverse (33222023223021), we get a palindrome (45254255245254).
The spelling of 12032232022233 in words is "twelve trillion, thirty-two billion, two hundred thirty-two million, twenty-two thousand, two hundred thirty-three".
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