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13800132289 is a prime number
BaseRepresentation
bin11001101101000110…
…10100111011000001
31022121202101100121201
430312203110323001
5211230313213124
610201212421201
7665660121556
oct146643247301
938552340551
1013800132289
1159418a6709
122811777801
1313bc09cb68
1494cb2aa2d
1555b803144
hex3368d4ec1

13800132289 has 2 divisors, whose sum is σ = 13800132290. Its totient is φ = 13800132288.

The previous prime is 13800132257. The next prime is 13800132317. The reversal of 13800132289 is 98223100831.

13800132289 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., 12180874689 + 1619257600 = 110367^2 + 40240^2 .

It is an emirp because it is prime and its reverse (98223100831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13800132289 - 25 = 13800132257 is a prime.

It is not a weakly prime, because it can be changed into another prime (13800132389) 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, 6900066144 + 6900066145.

It is an arithmetic number, because the mean of its divisors is an integer number (6900066145).

Almost surely, 213800132289 is an apocalyptic number.

It is an amenable number.

13800132289 is a deficient number, since it is larger than the sum of its proper divisors (1).

13800132289 is an equidigital number, since it uses as much as digits as its factorization.

13800132289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 13800132289 in words is "thirteen billion, eight hundred million, one hundred thirty-two thousand, two hundred eighty-nine".