Search a number
-
+
11223330144577 is a prime number
BaseRepresentation
bin1010001101010010001010…
…0110110100000101000001
31110201221101011201111121121
42203110202212310011001
52432340340004111302
635511532055352241
72235600404116465
oct243244246640501
943657334644547
1011223330144577
113637873303031
1213131a6682681
13635481025bb5
142ab2d7d244a5
15146e27e03e37
hexa35229b4141

11223330144577 has 2 divisors, whose sum is σ = 11223330144578. Its totient is φ = 11223330144576.

The previous prime is 11223330144557. The next prime is 11223330144581. The reversal of 11223330144577 is 77544103332211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9588535199296 + 1634794945281 = 3096536^2 + 1278591^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11223330144577 is a prime.

It is not a weakly prime, because it can be changed into another prime (11223330144557) 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 as a sum of consecutive naturals, namely, 5611665072288 + 5611665072289.

It is an arithmetic number, because the mean of its divisors is an integer number (5611665072289).

Almost surely, 211223330144577 is an apocalyptic number.

It is an amenable number.

11223330144577 is a deficient number, since it is larger than the sum of its proper divisors (1).

11223330144577 is an equidigital number, since it uses as much as digits as its factorization.

11223330144577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 43.

Adding to 11223330144577 its reverse (77544103332211), we get a palindrome (88767433476788).

The spelling of 11223330144577 in words is "eleven trillion, two hundred twenty-three billion, three hundred thirty million, one hundred forty-four thousand, five hundred seventy-seven".