Search a number
-
+
100000099777 is a prime number
BaseRepresentation
bin101110100100001111…
…0000110110111000001
3100120010011211102010011
41131020132012313001
53114300011143102
6113534525104521
710140044552254
oct1351036066701
9316104742104
10100000099777
11394564a4066
12174699b8141
139578845c96
144ba908909b
1529042592d7
hex1748786dc1

100000099777 has 2 divisors, whose sum is σ = 100000099778. Its totient is φ = 100000099776.

The previous prime is 100000099751. The next prime is 100000099841. The reversal of 100000099777 is 777990000001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69852375616 + 30147724161 = 264296^2 + 173631^2 .

It is an emirp because it is prime and its reverse (777990000001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100000099777 is a prime.

It is not a weakly prime, because it can be changed into another prime (100000099877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000049888 + 50000049889.

It is an arithmetic number, because the mean of its divisors is an integer number (50000049889).

Almost surely, 2100000099777 is an apocalyptic number.

It is an amenable number.

100000099777 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000099777 is an equidigital number, since it uses as much as digits as its factorization.

100000099777 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27783, while the sum is 40.

Adding to 100000099777 its reverse (777990000001), we get a palindrome (877990099778).

The spelling of 100000099777 in words is "one hundred billion, ninety-nine thousand, seven hundred seventy-seven".