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2222131304441 is a prime number
BaseRepresentation
bin100000010101100001010…
…110001101011111111001
321212102201011002021202202
4200111201112031133321
5242401411103220231
64420455533435545
7316354325303366
oct40254126153771
97772634067682
102222131304441
11787445210634
122ba7b733bbb5
13131713989959
14797a1d3146d
153cc0936a5cb
hex2056158d7f9

2222131304441 has 2 divisors, whose sum is σ = 2222131304442. Its totient is φ = 2222131304440.

The previous prime is 2222131304423. The next prime is 2222131304467. The reversal of 2222131304441 is 1444031312222.

2222131304441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1256874178816 + 965257125625 = 1121104^2 + 982475^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222131304441 - 214 = 2222131288057 is a prime.

It is not a weakly prime, because it can be changed into another prime (2222131306441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111065652220 + 1111065652221.

It is an arithmetic number, because the mean of its divisors is an integer number (1111065652221).

Almost surely, 22222131304441 is an apocalyptic number.

It is an amenable number.

2222131304441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222131304441 is an equidigital number, since it uses as much as digits as its factorization.

2222131304441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 2222131304441 its reverse (1444031312222), we get a palindrome (3666162616663).

The spelling of 2222131304441 in words is "two trillion, two hundred twenty-two billion, one hundred thirty-one million, three hundred four thousand, four hundred forty-one".