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13728348121 is a prime number
BaseRepresentation
bin11001100100100010…
…11111011111011001
31022102202022100020211
430302101133133121
5211103424114441
610150130051121
7664126014355
oct146221373731
938382270224
1013728348121
115905327154
1227b1719aa1
1313aa258217
149433a2465
15555373a81
hex33245f7d9

13728348121 has 2 divisors, whose sum is σ = 13728348122. Its totient is φ = 13728348120.

The previous prime is 13728348061. The next prime is 13728348131. The reversal of 13728348121 is 12184382731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11456491225 + 2271856896 = 107035^2 + 47664^2 .

It is a cyclic number.

It is not a de Polignac number, because 13728348121 - 27 = 13728347993 is a prime.

It is not a weakly prime, because it can be changed into another prime (13728348131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6864174060 + 6864174061.

It is an arithmetic number, because the mean of its divisors is an integer number (6864174061).

Almost surely, 213728348121 is an apocalyptic number.

It is an amenable number.

13728348121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13728348121 is an equidigital number, since it uses as much as digits as its factorization.

13728348121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 64512, while the sum is 40.

The spelling of 13728348121 in words is "thirteen billion, seven hundred twenty-eight million, three hundred forty-eight thousand, one hundred twenty-one".