Search a number
-
+
101006916697 is a prime number
BaseRepresentation
bin101111000010001111…
…0110011110001011001
3100122201100100000021201
41132010132303301121
53123330232313242
6114222452434201
710204021424461
oct1360436636131
9318640300251
10101006916697
1139922853565
12176ab018961
1396a92cbc3b
144c62a8cba1
1529628354b7
hex17847b3c59

101006916697 has 2 divisors, whose sum is σ = 101006916698. Its totient is φ = 101006916696.

The previous prime is 101006916691. The next prime is 101006916719. The reversal of 101006916697 is 796619600101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75873253401 + 25133663296 = 275451^2 + 158536^2 .

It is a cyclic number.

It is not a de Polignac number, because 101006916697 - 223 = 100998528089 is a prime.

It is not a weakly prime, because it can be changed into another prime (101006916691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50503458348 + 50503458349.

It is an arithmetic number, because the mean of its divisors is an integer number (50503458349).

Almost surely, 2101006916697 is an apocalyptic number.

It is an amenable number.

101006916697 is a deficient number, since it is larger than the sum of its proper divisors (1).

101006916697 is an equidigital number, since it uses as much as digits as its factorization.

101006916697 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 122472, while the sum is 46.

The spelling of 101006916697 in words is "one hundred one billion, six million, nine hundred sixteen thousand, six hundred ninety-seven".