Search a number
-
+
220212021110201 is a prime number
BaseRepresentation
bin110010000100100000011011…
…010010110010010110111001
31001212201001201101012220211022
4302010200123102302112321
5212330423204401011301
62100204001135512225
764245536112132101
oct6204403322622671
91055631641186738
10220212021110201
11641914370015aa
1220846694388675
1395b4b9b208133
143c544666b8201
151a6d3478d9d1b
hexc8481b4b25b9

220212021110201 has 2 divisors, whose sum is σ = 220212021110202. Its totient is φ = 220212021110200.

The previous prime is 220212021110153. The next prime is 220212021110203. The reversal of 220212021110201 is 102011120212022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120475846870201 + 99736174240000 = 10976149^2 + 9986800^2 .

It is a cyclic number.

It is not a de Polignac number, because 220212021110201 - 226 = 220211954001337 is a prime.

It is a super-2 number, since 2×2202120211102012 (a number of 29 digits) contains 22 as substring.

Together with 220212021110203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 220212021110201.

It is not a weakly prime, because it can be changed into another prime (220212021110203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110106010555100 + 110106010555101.

It is an arithmetic number, because the mean of its divisors is an integer number (110106010555101).

Almost surely, 2220212021110201 is an apocalyptic number.

It is an amenable number.

220212021110201 is a deficient number, since it is larger than the sum of its proper divisors (1).

220212021110201 is an equidigital number, since it uses as much as digits as its factorization.

220212021110201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 220212021110201 its reverse (102011120212022), we get a palindrome (322223141322223).

The spelling of 220212021110201 in words is "two hundred twenty trillion, two hundred twelve billion, twenty-one million, one hundred ten thousand, two hundred one".