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13742124901 is a prime number
BaseRepresentation
bin11001100110001100…
…00010111101100101
31022110201020021102221
430303012002331211
5211120440444101
610151341232341
7664354064041
oct146306027545
938421207387
1013742124901
11591208691a
1227b62626b1
1313b006cb6b
1494514b021
15556695aa1
hex333182f65

13742124901 has 2 divisors, whose sum is σ = 13742124902. Its totient is φ = 13742124900.

The previous prime is 13742124887. The next prime is 13742124919. The reversal of 13742124901 is 10942124731.

13742124901 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., 13549192801 + 192932100 = 116401^2 + 13890^2 .

It is a cyclic number.

It is not a de Polignac number, because 13742124901 - 211 = 13742122853 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13742124931) 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, 6871062450 + 6871062451.

It is an arithmetic number, because the mean of its divisors is an integer number (6871062451).

Almost surely, 213742124901 is an apocalyptic number.

It is an amenable number.

13742124901 is a deficient number, since it is larger than the sum of its proper divisors (1).

13742124901 is an equidigital number, since it uses as much as digits as its factorization.

13742124901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 13742124901 in words is "thirteen billion, seven hundred forty-two million, one hundred twenty-four thousand, nine hundred one".