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2211100020289 is a prime number
BaseRepresentation
bin100000001011001111110…
…101001100111001000001
321211101020100202222202001
4200023033311030321001
5242211313101122124
64411433151024001
7315514056033166
oct40131765147101
97741210688661
102211100020289
117827a4355576
122b8638b0b001
1313067642a994
1479036c3a06d
153c7b0b9bb44
hex202cfd4ce41

2211100020289 has 2 divisors, whose sum is σ = 2211100020290. Its totient is φ = 2211100020288.

The previous prime is 2211100020119. The next prime is 2211100020307. The reversal of 2211100020289 is 9820200011122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2112638994064 + 98461026225 = 1453492^2 + 313785^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211100020289 - 211 = 2211100018241 is a prime.

It is not a weakly prime, because it can be changed into another prime (2211100000289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105550010144 + 1105550010145.

It is an arithmetic number, because the mean of its divisors is an integer number (1105550010145).

Almost surely, 22211100020289 is an apocalyptic number.

It is an amenable number.

2211100020289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211100020289 is an equidigital number, since it uses as much as digits as its factorization.

2211100020289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 2211100020289 in words is "two trillion, two hundred eleven billion, one hundred million, twenty thousand, two hundred eighty-nine".