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4113322319 is a prime number
BaseRepresentation
bin1111010100101100…
…0101000101001111
3101121122221102110002
43311023011011033
531411002303234
61520054434515
7203634443231
oct36513050517
911548842402
104113322319
111820954a37
12969662a3b
1350724b042
142b0412251
151911ac27e
hexf52c514f

4113322319 has 2 divisors, whose sum is σ = 4113322320. Its totient is φ = 4113322318.

The previous prime is 4113322273. The next prime is 4113322321. The reversal of 4113322319 is 9132233114.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4113322319 - 220 = 4112273743 is a prime.

It is a super-2 number, since 2×41133223192 = 33838840999967075522, which contains 22 as substring.

Together with 4113322321, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 4113322291 and 4113322300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4113322019) 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, 2056661159 + 2056661160.

It is an arithmetic number, because the mean of its divisors is an integer number (2056661160).

Almost surely, 24113322319 is an apocalyptic number.

4113322319 is a deficient number, since it is larger than the sum of its proper divisors (1).

4113322319 is an equidigital number, since it uses as much as digits as its factorization.

4113322319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 29.

The square root of 4113322319 is about 64135.1878378788. The cubic root of 4113322319 is about 1602.2523381567.

The spelling of 4113322319 in words is "four billion, one hundred thirteen million, three hundred twenty-two thousand, three hundred nineteen".