Search a number
-
+
104081713341329 is a prime number
BaseRepresentation
bin10111101010100101101001…
…100011010010001110010001
3111122112010002120002001200002
4113222211221203102032101
5102120233322103410304
61005210251245135345
730631440612116243
oct2752455143221621
9448463076061602
10104081713341329
113018889685a599
12b80b89725a555
13460cb2c014409
141b9b820686093
15c0760e38531e
hex5ea9698d2391

104081713341329 has 2 divisors, whose sum is σ = 104081713341330. Its totient is φ = 104081713341328.

The previous prime is 104081713341317. The next prime is 104081713341349. The reversal of 104081713341329 is 923143317180401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67756357530625 + 36325355810704 = 8231425^2 + 6027052^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104081713341329 is a prime.

It is not a weakly prime, because it can be changed into another prime (104081713341349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52040856670664 + 52040856670665.

It is an arithmetic number, because the mean of its divisors is an integer number (52040856670665).

Almost surely, 2104081713341329 is an apocalyptic number.

It is an amenable number.

104081713341329 is a deficient number, since it is larger than the sum of its proper divisors (1).

104081713341329 is an equidigital number, since it uses as much as digits as its factorization.

104081713341329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 104081713341329 in words is "one hundred four trillion, eighty-one billion, seven hundred thirteen million, three hundred forty-one thousand, three hundred twenty-nine".