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819308482129 is a prime number
BaseRepresentation
bin10111110110000101001…
…01110100111001010001
32220022210000110021001101
423323002211310321101
5101410420432412004
61424215104104401
7113123141122564
oct13730245647121
92808700407041
10819308482129
11296515308145
12112954905101
135c3502c4927
142b9248804db
15164a34b3ba4
hexbec2974e51

819308482129 has 2 divisors, whose sum is σ = 819308482130. Its totient is φ = 819308482128.

The previous prime is 819308482127. The next prime is 819308482163. The reversal of 819308482129 is 921284803918.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 804208987729 + 15099494400 = 896777^2 + 122880^2 .

It is a cyclic number.

It is not a de Polignac number, because 819308482129 - 21 = 819308482127 is a prime.

Together with 819308482127, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 819308482129.

It is not a weakly prime, because it can be changed into another prime (819308482127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 409654241064 + 409654241065.

It is an arithmetic number, because the mean of its divisors is an integer number (409654241065).

Almost surely, 2819308482129 is an apocalyptic number.

It is an amenable number.

819308482129 is a deficient number, since it is larger than the sum of its proper divisors (1).

819308482129 is an equidigital number, since it uses as much as digits as its factorization.

819308482129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1990656, while the sum is 55.

The spelling of 819308482129 in words is "eight hundred nineteen billion, three hundred eight million, four hundred eighty-two thousand, one hundred twenty-nine".