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13827754301 is a prime number
BaseRepresentation
bin11001110000011001…
…01100100100111101
31022200200100200220012
430320030230210331
5211304401114201
610204040433005
7666443654324
oct147014544475
938620320805
1013827754301
115956452519
12281aa78765
1313c4a2164a
1495267b0bb
1555de5c5bb
hex33832c93d

13827754301 has 2 divisors, whose sum is σ = 13827754302. Its totient is φ = 13827754300.

The previous prime is 13827754289. The next prime is 13827754309. The reversal of 13827754301 is 10345772831.

13827754301 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., 13753191076 + 74563225 = 117274^2 + 8635^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13827754301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13827754309) 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, 6913877150 + 6913877151.

It is an arithmetic number, because the mean of its divisors is an integer number (6913877151).

Almost surely, 213827754301 is an apocalyptic number.

It is an amenable number.

13827754301 is a deficient number, since it is larger than the sum of its proper divisors (1).

13827754301 is an equidigital number, since it uses as much as digits as its factorization.

13827754301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 13827754301 in words is "thirteen billion, eight hundred twenty-seven million, seven hundred fifty-four thousand, three hundred one".