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13665251141 is a prime number
BaseRepresentation
bin11001011101000001…
…10010111101000101
31022021100120200110122
430232200302331011
5210441301014031
610135553431325
7662431501223
oct145640627505
938240520418
1013665251141
115882750493
12279456b545
13139a165729
14938c59b13
1554ea5d47b
hex32e832f45

13665251141 has 2 divisors, whose sum is σ = 13665251142. Its totient is φ = 13665251140.

The previous prime is 13665251071. The next prime is 13665251161. The reversal of 13665251141 is 14115256631.

13665251141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9071800516 + 4593450625 = 95246^2 + 67775^2 .

It is a cyclic number.

It is not a de Polignac number, because 13665251141 - 210 = 13665250117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13665251161) 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, 6832625570 + 6832625571.

It is an arithmetic number, because the mean of its divisors is an integer number (6832625571).

Almost surely, 213665251141 is an apocalyptic number.

It is an amenable number.

13665251141 is a deficient number, since it is larger than the sum of its proper divisors (1).

13665251141 is an equidigital number, since it uses as much as digits as its factorization.

13665251141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21600, while the sum is 35.

The spelling of 13665251141 in words is "thirteen billion, six hundred sixty-five million, two hundred fifty-one thousand, one hundred forty-one".