Search a number
-
+
100016759977 is a prime number
BaseRepresentation
bin101110100100101110…
…1101010010010101001
3100120011100011211121121
41131021131222102221
53114313242304402
6113540322135241
710140336301261
oct1351135522251
9316140154547
10100016759977
1139464943122
12174734b1521
13957c12a1a4
144bab3847a1
15290594a837
hex174976a4a9

100016759977 has 2 divisors, whose sum is σ = 100016759978. Its totient is φ = 100016759976.

The previous prime is 100016759959. The next prime is 100016760071. The reversal of 100016759977 is 779957610001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99727113616 + 289646361 = 315796^2 + 17019^2 .

It is a cyclic number.

It is not a de Polignac number, because 100016759977 - 219 = 100016235689 is a prime.

It is not a weakly prime, because it can be changed into another prime (100016759177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50008379988 + 50008379989.

It is an arithmetic number, because the mean of its divisors is an integer number (50008379989).

Almost surely, 2100016759977 is an apocalyptic number.

It is an amenable number.

100016759977 is a deficient number, since it is larger than the sum of its proper divisors (1).

100016759977 is an equidigital number, since it uses as much as digits as its factorization.

100016759977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 833490, while the sum is 52.

The spelling of 100016759977 in words is "one hundred billion, sixteen million, seven hundred fifty-nine thousand, nine hundred seventy-seven".