Search a number
-
+
102221200189 is a prime number
BaseRepresentation
bin101111100110011011…
…0111011101100111101
3100202211222020000002101
41133030312323230331
53133322111401224
6114543151025101
710246064602543
oct1371466735475
9322758200071
10102221200189
113a396225739
121798980b191
139840a54894
144d3a059d93
1529d4243044
hex17ccdbbb3d

102221200189 has 2 divisors, whose sum is σ = 102221200190. Its totient is φ = 102221200188.

The previous prime is 102221200187. The next prime is 102221200219. The reversal of 102221200189 is 981002122201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101660220964 + 560979225 = 318842^2 + 23685^2 .

It is an emirp because it is prime and its reverse (981002122201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102221200189 - 21 = 102221200187 is a prime.

It is a super-2 number, since 2×1022212001892 (a number of 23 digits) contains 22 as substring.

Together with 102221200187, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102221200187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110600094 + 51110600095.

It is an arithmetic number, because the mean of its divisors is an integer number (51110600095).

Almost surely, 2102221200189 is an apocalyptic number.

It is an amenable number.

102221200189 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221200189 is an equidigital number, since it uses as much as digits as its factorization.

102221200189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 102221200189 in words is "one hundred two billion, two hundred twenty-one million, two hundred thousand, one hundred eighty-nine".