Search a number
-
+
221000212100189 is a prime number
BaseRepresentation
bin110010001111111110011111…
…001000110011010001011101
31001222111102011202121210110202
4302033332133020303101131
5212431331413244201224
62102010032412113245
764356511164040364
oct6217763710632135
91058442152553422
10221000212100189
11644657332a3295
12209533a3a65825
1396412cc771202
143c8067853a7db
151a83ac90d5eae
hexc8ff9f23345d

221000212100189 has 2 divisors, whose sum is σ = 221000212100190. Its totient is φ = 221000212100188.

The previous prime is 221000212100167. The next prime is 221000212100201. The reversal of 221000212100189 is 981001212000122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 150670469544100 + 70329742556089 = 12274790^2 + 8386283^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221000212100189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221000212100119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110500106050094 + 110500106050095.

It is an arithmetic number, because the mean of its divisors is an integer number (110500106050095).

Almost surely, 2221000212100189 is an apocalyptic number.

It is an amenable number.

221000212100189 is a deficient number, since it is larger than the sum of its proper divisors (1).

221000212100189 is an equidigital number, since it uses as much as digits as its factorization.

221000212100189 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 221000212100189 in words is "two hundred twenty-one trillion, two hundred twelve million, one hundred thousand, one hundred eighty-nine".