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12681123041 is a prime number
BaseRepresentation
bin10111100111101101…
…01001010011100001
31012201202202210111202
423303312221103201
5201432331414131
65454200250545
7626151524126
oct136366512341
935652683452
1012681123041
115418188484
12255aa70a55
1312712c4a02
1488428074d
154e3464bcb
hex2f3da94e1

12681123041 has 2 divisors, whose sum is σ = 12681123042. Its totient is φ = 12681123040.

The previous prime is 12681123017. The next prime is 12681123067. The reversal of 12681123041 is 14032118621.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12675382225 + 5740816 = 112585^2 + 2396^2 .

It is a cyclic number.

It is not a de Polignac number, because 12681123041 - 26 = 12681122977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12681122995 and 12681123013.

It is not a weakly prime, because it can be changed into another prime (12681123941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6340561520 + 6340561521.

It is an arithmetic number, because the mean of its divisors is an integer number (6340561521).

Almost surely, 212681123041 is an apocalyptic number.

It is an amenable number.

12681123041 is a deficient number, since it is larger than the sum of its proper divisors (1).

12681123041 is an equidigital number, since it uses as much as digits as its factorization.

12681123041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 12681123041 in words is "twelve billion, six hundred eighty-one million, one hundred twenty-three thousand, forty-one".