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13385142161 is a prime number
BaseRepresentation
bin11000111011101000…
…10000111110010001
31021112211111200011222
430131310100332101
5204403044022121
610052110014425
7652460555036
oct143564207621
937484450158
1013385142161
115749622466
1227167a7415
131354110581
1490d98338d
1553517d0ab
hex31dd10f91

13385142161 has 2 divisors, whose sum is σ = 13385142162. Its totient is φ = 13385142160.

The previous prime is 13385142139. The next prime is 13385142187. The reversal of 13385142161 is 16124158331.

It is a happy number.

13385142161 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., 13286020225 + 99121936 = 115265^2 + 9956^2 .

It is a cyclic number.

It is not a de Polignac number, because 13385142161 - 214 = 13385125777 is a prime.

It is not a weakly prime, because it can be changed into another prime (13385142101) 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, 6692571080 + 6692571081.

It is an arithmetic number, because the mean of its divisors is an integer number (6692571081).

Almost surely, 213385142161 is an apocalyptic number.

It is an amenable number.

13385142161 is a deficient number, since it is larger than the sum of its proper divisors (1).

13385142161 is an equidigital number, since it uses as much as digits as its factorization.

13385142161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17280, while the sum is 35.

The spelling of 13385142161 in words is "thirteen billion, three hundred eighty-five million, one hundred forty-two thousand, one hundred sixty-one".