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12723135301 is a prime number
BaseRepresentation
bin10111101100101101…
…11010001101000101
31012211200211020111101
423312112322031011
5202024110312201
65502300540101
7630201602632
oct136626721505
935750736441
1012723135301
115439972958
122570b51631
131279c14436
14889a99189
154e6eb2d01
hex2f65ba345

12723135301 has 2 divisors, whose sum is σ = 12723135302. Its totient is φ = 12723135300.

The previous prime is 12723135283. The next prime is 12723135343. The reversal of 12723135301 is 10353132721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7010043076 + 5713092225 = 83726^2 + 75585^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12723135301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12723135301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12723135361) 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, 6361567650 + 6361567651.

It is an arithmetic number, because the mean of its divisors is an integer number (6361567651).

Almost surely, 212723135301 is an apocalyptic number.

It is an amenable number.

12723135301 is a deficient number, since it is larger than the sum of its proper divisors (1).

12723135301 is an equidigital number, since it uses as much as digits as its factorization.

12723135301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 28.

The spelling of 12723135301 in words is "twelve billion, seven hundred twenty-three million, one hundred thirty-five thousand, three hundred one".