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12141135257 is a prime number
BaseRepresentation
bin10110100111010101…
…10000010110011001
31011100010200120112012
423103222300112121
5144331112312012
65324430355305
7606603642536
oct132352602631
934303616465
1012141135257
115170399689
12242a05bb35
1311b647b804
14832679d8d
154b0d4d622
hex2d3ab0599

12141135257 has 2 divisors, whose sum is σ = 12141135258. Its totient is φ = 12141135256.

The previous prime is 12141135239. The next prime is 12141135263. The reversal of 12141135257 is 75253114121.

12141135257 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., 6621239641 + 5519895616 = 81371^2 + 74296^2 .

It is a cyclic number.

It is not a de Polignac number, because 12141135257 - 28 = 12141135001 is a prime.

It is not a weakly prime, because it can be changed into another prime (12141135217) 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, 6070567628 + 6070567629.

It is an arithmetic number, because the mean of its divisors is an integer number (6070567629).

Almost surely, 212141135257 is an apocalyptic number.

It is an amenable number.

12141135257 is a deficient number, since it is larger than the sum of its proper divisors (1).

12141135257 is an equidigital number, since it uses as much as digits as its factorization.

12141135257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8400, while the sum is 32.

Adding to 12141135257 its reverse (75253114121), we get a palindrome (87394249378).

The spelling of 12141135257 in words is "twelve billion, one hundred forty-one million, one hundred thirty-five thousand, two hundred fifty-seven".