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11144233665217 is a prime number
BaseRepresentation
bin1010001000101011100000…
…0101101100001011000001
31110110101012210202000221001
42202022320011230023001
52430041342304241332
635411331255332001
72230100333126032
oct242127005541301
943411183660831
1011144233665217
113607274413424
1212bb9b1381001
1362ab8714b0a3
142a7553180a89
15144d48e0a0e7
hexa22b816c2c1

11144233665217 has 2 divisors, whose sum is σ = 11144233665218. Its totient is φ = 11144233665216.

The previous prime is 11144233665161. The next prime is 11144233665343. The reversal of 11144233665217 is 71256633244111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10268794614016 + 875439051201 = 3204496^2 + 935649^2 .

It is a cyclic number.

It is not a de Polignac number, because 11144233665217 - 223 = 11144225276609 is a prime.

It is not a weakly prime, because it can be changed into another prime (11144233666217) 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, 5572116832608 + 5572116832609.

It is an arithmetic number, because the mean of its divisors is an integer number (5572116832609).

Almost surely, 211144233665217 is an apocalyptic number.

It is an amenable number.

11144233665217 is a deficient number, since it is larger than the sum of its proper divisors (1).

11144233665217 is an equidigital number, since it uses as much as digits as its factorization.

11144233665217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 725760, while the sum is 46.

The spelling of 11144233665217 in words is "eleven trillion, one hundred forty-four billion, two hundred thirty-three million, six hundred sixty-five thousand, two hundred seventeen".