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12191451841 is a prime number
BaseRepresentation
bin10110101101010101…
…01100101011000001
31011110122100220220101
423112222230223001
5144432002424331
65333425042401
7611054426242
oct132652545301
934418326811
1012191451841
115196836238
122442a86401
1311c3a1803a
14839216cc9
154b548c061
hex2d6aacac1

12191451841 has 2 divisors, whose sum is σ = 12191451842. Its totient is φ = 12191451840.

The previous prime is 12191451827. The next prime is 12191451889. The reversal of 12191451841 is 14815419121.

12191451841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11385743616 + 805708225 = 106704^2 + 28385^2 .

It is a cyclic number.

It is not a de Polignac number, because 12191451841 - 211 = 12191449793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12191451841.

It is not a weakly prime, because it can be changed into another prime (12191451241) 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, 6095725920 + 6095725921.

It is an arithmetic number, because the mean of its divisors is an integer number (6095725921).

Almost surely, 212191451841 is an apocalyptic number.

It is an amenable number.

12191451841 is a deficient number, since it is larger than the sum of its proper divisors (1).

12191451841 is an equidigital number, since it uses as much as digits as its factorization.

12191451841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11520, while the sum is 37.

It can be divided in two parts, 121914 and 51841, that added together give a triangular number (173755 = T589).

The spelling of 12191451841 in words is "twelve billion, one hundred ninety-one million, four hundred fifty-one thousand, eight hundred forty-one".