Search a number
-
+
100012206013 is a prime number
BaseRepresentation
bin101110100100100110…
…0010010011110111101
3100120011000121110202021
41131021030102132331
53114311111043023
6113540040400141
710140252503356
oct1351114223675
9316130543667
10100012206013
1139462312715
1217471a76051
13957b1c4435
144baa91ad2d
15290534b35d
hex17493127bd

100012206013 has 2 divisors, whose sum is σ = 100012206014. Its totient is φ = 100012206012.

The previous prime is 100012205999. The next prime is 100012206017. The reversal of 100012206013 is 310602210001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89402794009 + 10609412004 = 299003^2 + 103002^2 .

It is an emirp because it is prime and its reverse (310602210001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100012206013 - 225 = 99978651581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100012206017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006103006 + 50006103007.

It is an arithmetic number, because the mean of its divisors is an integer number (50006103007).

Almost surely, 2100012206013 is an apocalyptic number.

It is an amenable number.

100012206013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100012206013 is an equidigital number, since it uses as much as digits as its factorization.

100012206013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100012206013 its reverse (310602210001), we get a palindrome (410614416014).

The spelling of 100012206013 in words is "one hundred billion, twelve million, two hundred six thousand, thirteen".