Search a number
-
+
13042014329 is a prime number
BaseRepresentation
bin11000010010101110…
…10101100001111001
31020122220211222021202
430021113111201321
5203202223424304
65554051343545
7641123202251
oct141127254171
936586758252
1013042014329
115592971443
12263b8b1bb5
1312cacc2356
148ba184961
15514ea081e
hex3095d5879

13042014329 has 2 divisors, whose sum is σ = 13042014330. Its totient is φ = 13042014328.

The previous prime is 13042014313. The next prime is 13042014347. The reversal of 13042014329 is 92341024031.

13042014329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12988021225 + 53993104 = 113965^2 + 7348^2 .

It is a cyclic number.

It is not a de Polignac number, because 13042014329 - 24 = 13042014313 is a prime.

It is not a weakly prime, because it can be changed into another prime (13042014229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6521007164 + 6521007165.

It is an arithmetic number, because the mean of its divisors is an integer number (6521007165).

Almost surely, 213042014329 is an apocalyptic number.

It is an amenable number.

13042014329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13042014329 is an equidigital number, since it uses as much as digits as its factorization.

13042014329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 13042014329 in words is "thirteen billion, forty-two million, fourteen thousand, three hundred twenty-nine".