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2222313505441 is a prime number
BaseRepresentation
bin100000010101101100001…
…101010000001010100001
321212110011211221001112221
4200111230031100022201
5242402244224133231
64420530002551041
7316362000056551
oct40255415201241
97773154831487
102222313505441
11787529046977
122ba848368481
131317426515b3
14797bc1dd161
153cc1a35ad11
hex2056c3502a1

2222313505441 has 2 divisors, whose sum is σ = 2222313505442. Its totient is φ = 2222313505440.

The previous prime is 2222313505427. The next prime is 2222313505483. The reversal of 2222313505441 is 1445053132222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2118200803216 + 104112702225 = 1455404^2 + 322665^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2222313505441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2222313505397 and 2222313505406.

It is not a weakly prime, because it can be changed into another prime (2222313505411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111156752720 + 1111156752721.

It is an arithmetic number, because the mean of its divisors is an integer number (1111156752721).

Almost surely, 22222313505441 is an apocalyptic number.

It is an amenable number.

2222313505441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222313505441 is an equidigital number, since it uses as much as digits as its factorization.

2222313505441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 2222313505441 its reverse (1445053132222), we get a palindrome (3667366637663).

The spelling of 2222313505441 in words is "two trillion, two hundred twenty-two billion, three hundred thirteen million, five hundred five thousand, four hundred forty-one".