Search a number
-
+
13000302317 is a prime number
BaseRepresentation
bin11000001101110000…
…01101111011101101
31020120000100210011102
430012320031323231
5203111034133232
65550001332445
7640105514012
oct140670157355
936500323142
1013000302317
115571371602
122629937125
1312c24794a2
148b4807709
155114b1662
hex306e0deed

13000302317 has 2 divisors, whose sum is σ = 13000302318. Its totient is φ = 13000302316.

The previous prime is 13000302269. The next prime is 13000302353. The reversal of 13000302317 is 71320300031.

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., 10100049001 + 2900253316 = 100499^2 + 53854^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000302317 - 26 = 13000302253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13000302377) 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, 6500151158 + 6500151159.

It is an arithmetic number, because the mean of its divisors is an integer number (6500151159).

Almost surely, 213000302317 is an apocalyptic number.

It is an amenable number.

13000302317 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000302317 is an equidigital number, since it uses as much as digits as its factorization.

13000302317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 20.

Adding to 13000302317 its reverse (71320300031), we get a palindrome (84320602348).

The spelling of 13000302317 in words is "thirteen billion, three hundred two thousand, three hundred seventeen".