Search a number
-
+
107115216073 is a prime number
BaseRepresentation
bin110001111000010010…
…0000111110011001001
3101020111001011202202221
41203300210013303021
53223332443403243
6121112534454041
710511262212455
oct1436044076311
9336431152687
10107115216073
1141477824268
1218914804321
13a140955c78
14528200d665
152bbdc11bed
hex18f0907cc9

107115216073 has 2 divisors, whose sum is σ = 107115216074. Its totient is φ = 107115216072.

The previous prime is 107115216049. The next prime is 107115216079. The reversal of 107115216073 is 370612511701.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103675628169 + 3439587904 = 321987^2 + 58648^2 .

It is a cyclic number.

It is not a de Polignac number, because 107115216073 - 25 = 107115216041 is a prime.

It is a super-2 number, since 2×1071152160732 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (107115216079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53557608036 + 53557608037.

It is an arithmetic number, because the mean of its divisors is an integer number (53557608037).

Almost surely, 2107115216073 is an apocalyptic number.

It is an amenable number.

107115216073 is a deficient number, since it is larger than the sum of its proper divisors (1).

107115216073 is an equidigital number, since it uses as much as digits as its factorization.

107115216073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 34.

Adding to 107115216073 its reverse (370612511701), we get a palindrome (477727727774).

The spelling of 107115216073 in words is "one hundred seven billion, one hundred fifteen million, two hundred sixteen thousand, seventy-three".