Base | Representation |
---|---|
bin | 10110100110001001… |
… | …10111000011011001 |
3 | 1011022102222212121200 |
4 | 23103010313003121 |
5 | 144321041414431 |
6 | 5323433424413 |
7 | 606423336435 |
oct | 132304670331 |
9 | 34272885550 |
10 | 12131201241 |
11 | 5165824055 |
12 | 242686b109 |
13 | 11b43b0cb3 |
14 | 8312119c5 |
15 | 4b0039ee6 |
hex | 2d31370d9 |
12131201241 has 24 divisors (see below), whose sum is σ = 18558769320. Its totient is φ = 7609614336.
The previous prime is 12131201183. The next prime is 12131201249. The reversal of 12131201241 is 14210213121.
12131201241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 327465216 + 11803736025 = 18096^2 + 108645^2 .
It is not a de Polignac number, because 12131201241 - 211 = 12131199193 is a prime.
It is not an unprimeable number, because it can be changed into a prime (12131201249) 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 23 ways as a sum of consecutive naturals, for example, 681705 + ... + 699273.
It is an arithmetic number, because the mean of its divisors is an integer number (773282055).
Almost surely, 212131201241 is an apocalyptic number.
It is an amenable number.
12131201241 is a deficient number, since it is larger than the sum of its proper divisors (6427568079).
12131201241 is a wasteful number, since it uses less digits than its factorization.
12131201241 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22105 (or 22102 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
Adding to 12131201241 its reverse (14210213121), we get a palindrome (26341414362).
The spelling of 12131201241 in words is "twelve billion, one hundred thirty-one million, two hundred one thousand, two hundred forty-one".
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