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221411242114109 is a prime number
BaseRepresentation
bin110010010101111101010010…
…011011110111110000111101
31002000221201010011002221001122
4302111331102123313300331
5213010100210440122414
62102522530451520325
764431301661361365
oct6225752233676075
91060851104087048
10221411242114109
1164603a86aa3373
12209bab94bb90a5
139670cb52b52b8
143c9650b5839a5
151a8e633eebb8e
hexc95f526f7c3d

221411242114109 has 2 divisors, whose sum is σ = 221411242114110. Its totient is φ = 221411242114108.

The previous prime is 221411242114057. The next prime is 221411242114193. The reversal of 221411242114109 is 901411242114122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 176657858212900 + 44753383901209 = 13291270^2 + 6689797^2 .

It is a cyclic number.

It is not a de Polignac number, because 221411242114109 - 224 = 221411225336893 is a prime.

It is a super-3 number, since 3×2214112421141093 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221411242114409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110705621057054 + 110705621057055.

It is an arithmetic number, because the mean of its divisors is an integer number (110705621057055).

Almost surely, 2221411242114109 is an apocalyptic number.

It is an amenable number.

221411242114109 is a deficient number, since it is larger than the sum of its proper divisors (1).

221411242114109 is an equidigital number, since it uses as much as digits as its factorization.

221411242114109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 35.

The spelling of 221411242114109 in words is "two hundred twenty-one trillion, four hundred eleven billion, two hundred forty-two million, one hundred fourteen thousand, one hundred nine".