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12828219133 is a prime number
BaseRepresentation
bin10111111001001111…
…10001011011111101
31020010000120001102011
423330213301123331
5202233011003013
65520533131221
7632616030532
oct137447613375
936100501364
1012828219133
1154932169a4
1225a0189b11
131295917c12
14899a10d89
1550131dc3d
hex2fc9f16fd

12828219133 has 2 divisors, whose sum is σ = 12828219134. Its totient is φ = 12828219132.

The previous prime is 12828219121. The next prime is 12828219149. The reversal of 12828219133 is 33191282821.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12818315524 + 9903609 = 113218^2 + 3147^2 .

It is an emirp because it is prime and its reverse (33191282821) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12828219133 - 25 = 12828219101 is a prime.

It is a super-3 number, since 3×128282191333 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12828279133) 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, 6414109566 + 6414109567.

It is an arithmetic number, because the mean of its divisors is an integer number (6414109567).

Almost surely, 212828219133 is an apocalyptic number.

It is an amenable number.

12828219133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12828219133 is an equidigital number, since it uses as much as digits as its factorization.

12828219133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 41472, while the sum is 40.

The spelling of 12828219133 in words is "twelve billion, eight hundred twenty-eight million, two hundred nineteen thousand, one hundred thirty-three".