Search a number
-
+
768971113129 is a prime number
BaseRepresentation
bin10110011000010100100…
…00000000001010101001
32201111211220210222011101
423030022100000022221
5100044323101110004
61345132131401401
7106361551421002
oct13141220001251
92644756728141
10768971113129
1127713416783a
12105046a53261
135768a6a1c9b
142930b4101a9
15150091ccba4
hexb30a4002a9

768971113129 has 2 divisors, whose sum is σ = 768971113130. Its totient is φ = 768971113128.

The previous prime is 768971113069. The next prime is 768971113151. The reversal of 768971113129 is 921311179867.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 534138799104 + 234832314025 = 730848^2 + 484595^2 .

It is a cyclic number.

It is not a de Polignac number, because 768971113129 - 29 = 768971112617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 768971113129.

It is not a weakly prime, because it can be changed into another prime (768971116129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384485556564 + 384485556565.

It is an arithmetic number, because the mean of its divisors is an integer number (384485556565).

Almost surely, 2768971113129 is an apocalyptic number.

It is an amenable number.

768971113129 is a deficient number, since it is larger than the sum of its proper divisors (1).

768971113129 is an equidigital number, since it uses as much as digits as its factorization.

768971113129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1143072, while the sum is 55.

The spelling of 768971113129 in words is "seven hundred sixty-eight billion, nine hundred seventy-one million, one hundred thirteen thousand, one hundred twenty-nine".