Search a number
-
+
100012103017 is a prime number
BaseRepresentation
bin101110100100100101…
…1111001010101101001
3100120011000102020110121
41131021023321111221
53114311044244032
6113540034243241
710140251564161
oct1351113712551
9316130366417
10100012103017
11394622522a2
1217471a26521
13957b1895a8
144baa8d15a1
15290532aa97
hex17492f9569

100012103017 has 2 divisors, whose sum is σ = 100012103018. Its totient is φ = 100012103016.

The previous prime is 100012102997. The next prime is 100012103027. The reversal of 100012103017 is 710301210001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66545425296 + 33466677721 = 257964^2 + 182939^2 .

It is an emirp because it is prime and its reverse (710301210001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100012103017 is a prime.

It is not a weakly prime, because it can be changed into another prime (100012103027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006051508 + 50006051509.

It is an arithmetic number, because the mean of its divisors is an integer number (50006051509).

Almost surely, 2100012103017 is an apocalyptic number.

It is an amenable number.

100012103017 is a deficient number, since it is larger than the sum of its proper divisors (1).

100012103017 is an equidigital number, since it uses as much as digits as its factorization.

100012103017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 16.

Adding to 100012103017 its reverse (710301210001), we get a palindrome (810313313018).

The spelling of 100012103017 in words is "one hundred billion, twelve million, one hundred three thousand, seventeen".