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12153400241 is a prime number
BaseRepresentation
bin10110101000110011…
…00010101110110001
31011100222202200220212
423110121202232301
5144342232301431
65325545313505
7610113124523
oct132431425661
934328680825
1012153400241
115177306534
122432195895
1311b8b842b8
1483414da13
154b1e7272b
hex2d4662bb1

12153400241 has 2 divisors, whose sum is σ = 12153400242. Its totient is φ = 12153400240.

The previous prime is 12153400229. The next prime is 12153400253. The reversal of 12153400241 is 14200435121.

12153400241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (12153400229) and next prime (12153400253).

It can be written as a sum of positive squares in only one way, i.e., 10655400625 + 1497999616 = 103225^2 + 38704^2 .

It is a cyclic number.

It is not a de Polignac number, because 12153400241 - 210 = 12153399217 is a prime.

It is not a weakly prime, because it can be changed into another prime (12153400291) 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, 6076700120 + 6076700121.

It is an arithmetic number, because the mean of its divisors is an integer number (6076700121).

Almost surely, 212153400241 is an apocalyptic number.

It is an amenable number.

12153400241 is a deficient number, since it is larger than the sum of its proper divisors (1).

12153400241 is an equidigital number, since it uses as much as digits as its factorization.

12153400241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 12153400241 its reverse (14200435121), we get a palindrome (26353835362).

The spelling of 12153400241 in words is "twelve billion, one hundred fifty-three million, four hundred thousand, two hundred forty-one".