Search a number
-
+
100011110021 is a prime number
BaseRepresentation
bin101110100100100100…
…0000110111010000101
3100120010221112210022222
41131021020012322011
53114310321010041
6113540001102125
710140240260144
oct1351110067205
9316127483288
10100011110021
1139461734239
1217471627945
13957abcc614
144baa71375b
1529051d174b
hex1749206e85

100011110021 has 2 divisors, whose sum is σ = 100011110022. Its totient is φ = 100011110020.

The previous prime is 100011109999. The next prime is 100011110033. The reversal of 100011110021 is 120011110001.

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., 99998250625 + 12859396 = 316225^2 + 3586^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011110021 - 218 = 100010847877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100011109990 and 100011110008.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011110321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005555010 + 50005555011.

It is an arithmetic number, because the mean of its divisors is an integer number (50005555011).

Almost surely, 2100011110021 is an apocalyptic number.

It is an amenable number.

100011110021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011110021 is an equidigital number, since it uses as much as digits as its factorization.

100011110021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100011110021 its reverse (120011110001), we get a palindrome (220022220022).

The spelling of 100011110021 in words is "one hundred billion, eleven million, one hundred ten thousand, twenty-one".