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13201182689 is a prime number
BaseRepresentation
bin11000100101101101…
…00000111111100001
31021002000100120020012
430102312200333201
5204014000321224
610021535054305
7645065126042
oct142266407741
937060316205
1013201182689
1156647a5a42
122685071395
131324c81406
148d33788c9
15523e4180e
hex312da0fe1

13201182689 has 2 divisors, whose sum is σ = 13201182690. Its totient is φ = 13201182688.

The previous prime is 13201182671. The next prime is 13201182719. The reversal of 13201182689 is 98628110231.

13201182689 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., 12821712289 + 379470400 = 113233^2 + 19480^2 .

It is a cyclic number.

It is not a de Polignac number, because 13201182689 - 212 = 13201178593 is a prime.

It is not a weakly prime, because it can be changed into another prime (13201182089) 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, 6600591344 + 6600591345.

It is an arithmetic number, because the mean of its divisors is an integer number (6600591345).

Almost surely, 213201182689 is an apocalyptic number.

It is an amenable number.

13201182689 is a deficient number, since it is larger than the sum of its proper divisors (1).

13201182689 is an equidigital number, since it uses as much as digits as its factorization.

13201182689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 41.

The spelling of 13201182689 in words is "thirteen billion, two hundred one million, one hundred eighty-two thousand, six hundred eighty-nine".