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222200001100201 is a prime number
BaseRepresentation
bin110010100001011011111000…
…001000100111100110101001
31002010202010001010021222212211
4302201123320020213212221
5213111011100240201301
62104325134334205121
764542264111213205
oct6241337010474651
91063663033258784
10222200001100201
1164888544973a23
1220b07a229537a1
1396ca4a741cb47
143cc2774a1bb05
151aa4dea4e3051
hexca16f82279a9

222200001100201 has 2 divisors, whose sum is σ = 222200001100202. Its totient is φ = 222200001100200.

The previous prime is 222200001100199. The next prime is 222200001100211. The reversal of 222200001100201 is 102001100002222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 217235910155625 + 4964090944576 = 14738925^2 + 2228024^2 .

It is a cyclic number.

It is not a de Polignac number, because 222200001100201 - 21 = 222200001100199 is a prime.

It is a super-2 number, since 2×2222000011002012 (a number of 29 digits) contains 22 as substring.

Together with 222200001100199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (222200001100211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111100000550100 + 111100000550101.

It is an arithmetic number, because the mean of its divisors is an integer number (111100000550101).

Almost surely, 2222200001100201 is an apocalyptic number.

It is an amenable number.

222200001100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

222200001100201 is an equidigital number, since it uses as much as digits as its factorization.

222200001100201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 222200001100201 its reverse (102001100002222), we get a palindrome (324201101102423).

The spelling of 222200001100201 in words is "two hundred twenty-two trillion, two hundred billion, one million, one hundred thousand, two hundred one".