Search a number
-
+
210593820181 is a prime number
BaseRepresentation
bin1100010000100001011…
…1101010111000010101
3202010120122102111202211
43010020113222320111
511422244004221211
6240425004233421
721133465636063
oct3041027527025
9663518374684
10210593820181
11813487a3098
123499353b871
1316b22050424
14a29b05d033
15572852de21
hex31085eae15

210593820181 has 2 divisors, whose sum is σ = 210593820182. Its totient is φ = 210593820180.

The previous prime is 210593820139. The next prime is 210593820221. The reversal of 210593820181 is 181028395012.

It is an a-pointer prime, because the next prime (210593820221) can be obtained adding 210593820181 to its sum of digits (40).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129064155025 + 81529665156 = 359255^2 + 285534^2 .

It is a cyclic number.

It is not a de Polignac number, because 210593820181 - 217 = 210593689109 is a prime.

It is a super-2 number, since 2×2105938201812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210593800181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105296910090 + 105296910091.

It is an arithmetic number, because the mean of its divisors is an integer number (105296910091).

Almost surely, 2210593820181 is an apocalyptic number.

It is an amenable number.

210593820181 is a deficient number, since it is larger than the sum of its proper divisors (1).

210593820181 is an equidigital number, since it uses as much as digits as its factorization.

210593820181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 40.

The spelling of 210593820181 in words is "two hundred ten billion, five hundred ninety-three million, eight hundred twenty thousand, one hundred eighty-one".