Search a number
-
+
101411192189 is a prime number
BaseRepresentation
bin101111001110010010…
…0111111110101111101
3100200202112001100000002
41132130210333311331
53130142231122224
6114330533444045
710220030624306
oct1363444776575
9320675040002
10101411192189
113a00aa7973a
12177a24a0625
139741ca95c8
144ca06477ad
1529880909ae
hex179c93fd7d

101411192189 has 2 divisors, whose sum is σ = 101411192190. Its totient is φ = 101411192188.

The previous prime is 101411192171. The next prime is 101411192191. The reversal of 101411192189 is 981291114101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81570216025 + 19840976164 = 285605^2 + 140858^2 .

It is a cyclic number.

It is not a de Polignac number, because 101411192189 - 236 = 32691715453 is a prime.

It is a super-2 number, since 2×1014111921892 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 101411192191, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101411192989) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50705596094 + 50705596095.

It is an arithmetic number, because the mean of its divisors is an integer number (50705596095).

Almost surely, 2101411192189 is an apocalyptic number.

It is an amenable number.

101411192189 is a deficient number, since it is larger than the sum of its proper divisors (1).

101411192189 is an equidigital number, since it uses as much as digits as its factorization.

101411192189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 38.

The spelling of 101411192189 in words is "one hundred one billion, four hundred eleven million, one hundred ninety-two thousand, one hundred eighty-nine".