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104957540713 is a prime number
BaseRepresentation
bin110000110111111110…
…1001111100101101001
3101000220200010111121201
41201233331033211221
53204423112300323
6120114500204201
710403642242654
oct1415775174551
9330820114551
10104957540713
114056a882893
1218412099661
139b8892329c
14511962c89b
152ae45a58ad
hex186ff4f969

104957540713 has 2 divisors, whose sum is σ = 104957540714. Its totient is φ = 104957540712.

The previous prime is 104957540683. The next prime is 104957540777. The reversal of 104957540713 is 317045759401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99005881104 + 5951659609 = 314652^2 + 77147^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104957540713 is a prime.

It is a super-3 number, since 3×1049575407133 (a number of 34 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 (104957540213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52478770356 + 52478770357.

It is an arithmetic number, because the mean of its divisors is an integer number (52478770357).

Almost surely, 2104957540713 is an apocalyptic number.

It is an amenable number.

104957540713 is a deficient number, since it is larger than the sum of its proper divisors (1).

104957540713 is an equidigital number, since it uses as much as digits as its factorization.

104957540713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 529200, while the sum is 46.

The spelling of 104957540713 in words is "one hundred four billion, nine hundred fifty-seven million, five hundred forty thousand, seven hundred thirteen".