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13822431289 is a prime number
BaseRepresentation
bin11001101111110000…
…11001000000111001
31022200022100021002121
430313320121000321
5211302020300124
610203330401241
7666350504332
oct146770310071
938608307077
1013822431289
115953447237
122819130221
1313c38a9834
14951a93289
1555d75a2e4
hex337e19039

13822431289 has 2 divisors, whose sum is σ = 13822431290. Its totient is φ = 13822431288.

The previous prime is 13822431253. The next prime is 13822431319. The reversal of 13822431289 is 98213422831.

13822431289 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., 13194427689 + 628003600 = 114867^2 + 25060^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13822431289 is a prime.

It is not a weakly prime, because it can be changed into another prime (13822431209) 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, 6911215644 + 6911215645.

It is an arithmetic number, because the mean of its divisors is an integer number (6911215645).

Almost surely, 213822431289 is an apocalyptic number.

It is an amenable number.

13822431289 is a deficient number, since it is larger than the sum of its proper divisors (1).

13822431289 is an equidigital number, since it uses as much as digits as its factorization.

13822431289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 165888, while the sum is 43.

The spelling of 13822431289 in words is "thirteen billion, eight hundred twenty-two million, four hundred thirty-one thousand, two hundred eighty-nine".