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104224132013 is a prime number
BaseRepresentation
bin110000100010000111…
…1100000101110101101
3100222000120002111000112
41201010033200232231
53201422334211023
6115514020505405
710346525335121
oct1410417405655
9328016074015
10104224132013
1140223894aa1
121824854b265
139a9c9b7541
14508a079581
152a9eed4478
hex18443e0bad

104224132013 has 2 divisors, whose sum is σ = 104224132014. Its totient is φ = 104224132012.

The previous prime is 104224132009. The next prime is 104224132037. The reversal of 104224132013 is 310231422401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53834208484 + 50389923529 = 232022^2 + 224477^2 .

It is a cyclic number.

It is not a de Polignac number, because 104224132013 - 22 = 104224132009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 104224132013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (104224132073) 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, 52112066006 + 52112066007.

It is an arithmetic number, because the mean of its divisors is an integer number (52112066007).

Almost surely, 2104224132013 is an apocalyptic number.

It is an amenable number.

104224132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

104224132013 is an equidigital number, since it uses as much as digits as its factorization.

104224132013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 104224132013 its reverse (310231422401), we get a palindrome (414455554414).

The spelling of 104224132013 in words is "one hundred four billion, two hundred twenty-four million, one hundred thirty-two thousand, thirteen".