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331201112300041 is a prime number
BaseRepresentation
bin100101101001110011100010…
…0101001011101101000001001
31121102200111221222100011010111
41023103213010221131220021
5321402344334222100131
63132223405052314321
7126522330213234514
oct11323470451355011
91542614858304114
10331201112300041
119659266a5530a5
1231190bb24729a1
13112a61916c8169
145bb030dd2bd7b
15284547acd8ab1
hex12d39c4a5da09

331201112300041 has 2 divisors, whose sum is σ = 331201112300042. Its totient is φ = 331201112300040.

The previous prime is 331201112299999. The next prime is 331201112300099. The reversal of 331201112300041 is 140003211102133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 265769191300041 + 65431921000000 = 16302429^2 + 8089000^2 .

It is a cyclic number.

It is not a de Polignac number, because 331201112300041 - 219 = 331201111775753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331201112299985 and 331201112300021.

It is not a weakly prime, because it can be changed into another prime (331201112300941) 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 as a sum of consecutive naturals, namely, 165600556150020 + 165600556150021.

It is an arithmetic number, because the mean of its divisors is an integer number (165600556150021).

Almost surely, 2331201112300041 is an apocalyptic number.

It is an amenable number.

331201112300041 is a deficient number, since it is larger than the sum of its proper divisors (1).

331201112300041 is an equidigital number, since it uses as much as digits as its factorization.

331201112300041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 331201112300041 its reverse (140003211102133), we get a palindrome (471204323402174).

The spelling of 331201112300041 in words is "three hundred thirty-one trillion, two hundred one billion, one hundred twelve million, three hundred thousand, forty-one".