Search a number
-
+
220221012252221 is a prime number
BaseRepresentation
bin110010000100101000110011…
…001101010001011000111101
31001212201220220222122020222022
4302010220303031101120331
5212331100113114032341
62100212045243125525
764246304656441121
oct6204506315213075
91055656828566868
10220221012252221
11641952302a2692
12208483835138a5
1395b59a1ba6606
143c54a7a865581
151a6d6c1e16e4b
hexc84a3335163d

220221012252221 has 2 divisors, whose sum is σ = 220221012252222. Its totient is φ = 220221012252220.

The previous prime is 220221012252211. The next prime is 220221012252223. The reversal of 220221012252221 is 122252210122022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217061701524196 + 3159310728025 = 14733014^2 + 1777445^2 .

It is a cyclic number.

It is not a de Polignac number, because 220221012252221 - 246 = 149852268074557 is a prime.

Together with 220221012252223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220221012252223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110110506126110 + 110110506126111.

It is an arithmetic number, because the mean of its divisors is an integer number (110110506126111).

Almost surely, 2220221012252221 is an apocalyptic number.

It is an amenable number.

220221012252221 is a deficient number, since it is larger than the sum of its proper divisors (1).

220221012252221 is an equidigital number, since it uses as much as digits as its factorization.

220221012252221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 220221012252221 its reverse (122252210122022), we get a palindrome (342473222374243).

The spelling of 220221012252221 in words is "two hundred twenty trillion, two hundred twenty-one billion, twelve million, two hundred fifty-two thousand, two hundred twenty-one".