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12434241097 is a prime number
BaseRepresentation
bin10111001010010001…
…10111011001001001
31012002120012220011001
423211020313121021
5200431131203342
65413500535001
7620063206525
oct134510673111
935076186131
1012434241097
115300894413
1224b0251461
131232104615
1485d576d85
154cb9498b7
hex2e5237649

12434241097 has 2 divisors, whose sum is σ = 12434241098. Its totient is φ = 12434241096.

The previous prime is 12434241049. The next prime is 12434241107. The reversal of 12434241097 is 79014243421.

12434241097 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., 12156385536 + 277855561 = 110256^2 + 16669^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12434241097 is a prime.

It is a super-3 number, since 3×124342410973 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (12434241397) 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, 6217120548 + 6217120549.

It is an arithmetic number, because the mean of its divisors is an integer number (6217120549).

Almost surely, 212434241097 is an apocalyptic number.

It is an amenable number.

12434241097 is a deficient number, since it is larger than the sum of its proper divisors (1).

12434241097 is an equidigital number, since it uses as much as digits as its factorization.

12434241097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 12434241097 in words is "twelve billion, four hundred thirty-four million, two hundred forty-one thousand, ninety-seven".