Search a number
-
+
100220100089 is a prime number
BaseRepresentation
bin101110101010110010…
…1010101110111111001
3100120200111210120210212
41131111211111313321
53120222321200324
6114012424320505
710145355536504
oct1352545256771
9316614716725
10100220100089
11395596a75aa
121750b613135
1395b22b3895
144bca39613b
15291871470e
hex1755955df9

100220100089 has 2 divisors, whose sum is σ = 100220100090. Its totient is φ = 100220100088.

The previous prime is 100220100073. The next prime is 100220100151. The reversal of 100220100089 is 980001022001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89571511225 + 10648588864 = 299285^2 + 103192^2 .

It is a cyclic number.

It is not a de Polignac number, because 100220100089 - 24 = 100220100073 is a prime.

It is not a weakly prime, because it can be changed into another prime (100220100389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110050044 + 50110050045.

It is an arithmetic number, because the mean of its divisors is an integer number (50110050045).

Almost surely, 2100220100089 is an apocalyptic number.

It is an amenable number.

100220100089 is a deficient number, since it is larger than the sum of its proper divisors (1).

100220100089 is an equidigital number, since it uses as much as digits as its factorization.

100220100089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 100220100089 in words is "one hundred billion, two hundred twenty million, one hundred thousand, eighty-nine".