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222222111001349 is a prime number
BaseRepresentation
bin110010100001110000011101…
…111111001100101100000101
31002010211020002222222100101112
4302201300131333030230011
5213111341340404020344
62104343232314134405
764544006033242334
oct6241603577145405
91063736088870345
10222222111001349
11648969603839a8
1220b10173421405
1396cc5bbc711a4
143cc3871209d1b
151aa57915cec9e
hexca1c1dfccb05

222222111001349 has 2 divisors, whose sum is σ = 222222111001350. Its totient is φ = 222222111001348.

The previous prime is 222222111001159. The next prime is 222222111001351. The reversal of 222222111001349 is 943100111222222.

222222111001349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170893053776449 + 51329057224900 = 13072607^2 + 7164430^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222222111001349 is a prime.

It is a Sophie Germain prime.

Together with 222222111001351, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222222111001379) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111111055500674 + 111111055500675.

It is an arithmetic number, because the mean of its divisors is an integer number (111111055500675).

Almost surely, 2222222111001349 is an apocalyptic number.

It is an amenable number.

222222111001349 is a deficient number, since it is larger than the sum of its proper divisors (1).

222222111001349 is an equidigital number, since it uses as much as digits as its factorization.

222222111001349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 222222111001349 in words is "two hundred twenty-two trillion, two hundred twenty-two billion, one hundred eleven million, one thousand, three hundred forty-nine".