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12803606129 is a prime number
BaseRepresentation
bin10111110110010011…
…11000011001110001
31020001022020120201102
423323021320121301
5202210210344004
65514253414145
7632166566516
oct137311703161
936038216642
1012803606129
115480335876
122593a9a355
1312907aac02
1489664530d
154ee0ab11e
hex2fb278671

12803606129 has 2 divisors, whose sum is σ = 12803606130. Its totient is φ = 12803606128.

The previous prime is 12803606093. The next prime is 12803606131. The reversal of 12803606129 is 92160630821.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7080381025 + 5723225104 = 84145^2 + 75652^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12803606129 is a prime.

Together with 12803606131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 12803606092 and 12803606101.

It is not a weakly prime, because it can be changed into another prime (12803606929) 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, 6401803064 + 6401803065.

It is an arithmetic number, because the mean of its divisors is an integer number (6401803065).

Almost surely, 212803606129 is an apocalyptic number.

It is an amenable number.

12803606129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12803606129 is an equidigital number, since it uses as much as digits as its factorization.

12803606129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 12803606129 in words is "twelve billion, eight hundred three million, six hundred six thousand, one hundred twenty-nine".