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220012001002817 is a prime number
BaseRepresentation
bin110010000001100110001001…
…001010101000010101000001
31001211222221102122002200011222
4302001212021022220111001
5212314134034224042232
62055532041250444425
764225225325231012
oct6201461112502501
91054887378080158
10220012001002817
1164114624957431
1220813971b93715
13959c0729989ca
143c488cda81009
151a6803c7e2d12
hexc819892a8541

220012001002817 has 2 divisors, whose sum is σ = 220012001002818. Its totient is φ = 220012001002816.

The previous prime is 220012001002769. The next prime is 220012001002819. The reversal of 220012001002817 is 718200100210022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 216406194984001 + 3605806018816 = 14710751^2 + 1898896^2 .

It is a cyclic number.

It is not a de Polignac number, because 220012001002817 - 242 = 215613954491713 is a prime.

It is a super-2 number, since 2×2200120010028172 (a number of 29 digits) contains 22 as substring.

Together with 220012001002819, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (220012001002819) 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, 110006000501408 + 110006000501409.

It is an arithmetic number, because the mean of its divisors is an integer number (110006000501409).

Almost surely, 2220012001002817 is an apocalyptic number.

It is an amenable number.

220012001002817 is a deficient number, since it is larger than the sum of its proper divisors (1).

220012001002817 is an equidigital number, since it uses as much as digits as its factorization.

220012001002817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 896, while the sum is 26.

Adding to 220012001002817 its reverse (718200100210022), we get a palindrome (938212101212839).

The spelling of 220012001002817 in words is "two hundred twenty trillion, twelve billion, one million, two thousand, eight hundred seventeen".