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13303424129 is a prime number
BaseRepresentation
bin11000110001111001…
…00010010010000001
31021100010201222010012
430120330202102001
5204221134033004
610040030314305
7650446145042
oct143074422201
937303658105
1013303424129
1157074884a6
1226b3358995
1313401cb1c8
14902b908c9
1552cdda46e
hex318f22481

13303424129 has 2 divisors, whose sum is σ = 13303424130. Its totient is φ = 13303424128.

The previous prime is 13303424083. The next prime is 13303424131. The reversal of 13303424129 is 92142430331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13128576400 + 174847729 = 114580^2 + 13223^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13303424129 is a prime.

Together with 13303424131, 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 = 13303424095 and 13303424104.

It is not a weakly prime, because it can be changed into another prime (13303424929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6651712064 + 6651712065.

It is an arithmetic number, because the mean of its divisors is an integer number (6651712065).

Almost surely, 213303424129 is an apocalyptic number.

It is an amenable number.

13303424129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13303424129 is an equidigital number, since it uses as much as digits as its factorization.

13303424129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 13303424129 in words is "thirteen billion, three hundred three million, four hundred twenty-four thousand, one hundred twenty-nine".