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13212000017 is a prime number
BaseRepresentation
bin11000100110111111…
…10001111100010001
31021002202201010210222
430103133301330101
5204024233000032
610023003002425
7645256101326
oct142337617421
937082633728
1013212000017
11566a914187
122688809415
13132729acb8
148d4992b4d
15524d7ba12
hex3137f1f11

13212000017 has 2 divisors, whose sum is σ = 13212000018. Its totient is φ = 13212000016.

The previous prime is 13211999971. The next prime is 13212000029. The reversal of 13212000017 is 71000021231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12789121921 + 422878096 = 113089^2 + 20564^2 .

It is a cyclic number.

It is not a de Polignac number, because 13212000017 - 26 = 13211999953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13211999959 and 13212000004.

It is not a weakly prime, because it can be changed into another prime (13212000047) 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, 6606000008 + 6606000009.

It is an arithmetic number, because the mean of its divisors is an integer number (6606000009).

Almost surely, 213212000017 is an apocalyptic number.

It is an amenable number.

13212000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

13212000017 is an equidigital number, since it uses as much as digits as its factorization.

13212000017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 17.

Adding to 13212000017 its reverse (71000021231), we get a palindrome (84212021248).

The spelling of 13212000017 in words is "thirteen billion, two hundred twelve million, seventeen", and thus it is an aban number.