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12937309241 is a prime number
BaseRepresentation
bin11000000110001111…
…11010110000111001
31020101121211101220112
430003013322300321
5202443422343431
65535431234105
7635412212513
oct140307726071
936347741815
1012937309241
115539856a0a
122610818935
1312b23c208c
148aa2cabb3
1550abbbc2b
hex3031fac39

12937309241 has 2 divisors, whose sum is σ = 12937309242. Its totient is φ = 12937309240.

The previous prime is 12937309163. The next prime is 12937309249. The reversal of 12937309241 is 14290373921.

12937309241 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., 7360953616 + 5576355625 = 85796^2 + 74675^2 .

It is a cyclic number.

It is not a de Polignac number, because 12937309241 - 210 = 12937308217 is a prime.

It is not a weakly prime, because it can be changed into another prime (12937309249) 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, 6468654620 + 6468654621.

It is an arithmetic number, because the mean of its divisors is an integer number (6468654621).

Almost surely, 212937309241 is an apocalyptic number.

It is an amenable number.

12937309241 is a deficient number, since it is larger than the sum of its proper divisors (1).

12937309241 is an equidigital number, since it uses as much as digits as its factorization.

12937309241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81648, while the sum is 41.

The spelling of 12937309241 in words is "twelve billion, nine hundred thirty-seven million, three hundred nine thousand, two hundred forty-one".