Search a number
-
+
243115221329 is a prime number
BaseRepresentation
bin1110001001101011001…
…0111110000101010001
3212020112010011212021122
43202122302332011101
512440344444040304
6303404030532025
723364423166511
oct3423262760521
9766463155248
10243115221329
1194117228122
123b14a967015
1319c058c8a66
14baa42c9841
1564cd6ae9be
hex389acbe151

243115221329 has 2 divisors, whose sum is σ = 243115221330. Its totient is φ = 243115221328.

The previous prime is 243115221257. The next prime is 243115221491. The reversal of 243115221329 is 923122511342.

243115221329 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., 242632100929 + 483120400 = 492577^2 + 21980^2 .

It is a cyclic number.

It is not a de Polignac number, because 243115221329 - 232 = 238820254033 is a prime.

It is not a weakly prime, because it can be changed into another prime (243115221229) 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, 121557610664 + 121557610665.

It is an arithmetic number, because the mean of its divisors is an integer number (121557610665).

Almost surely, 2243115221329 is an apocalyptic number.

It is an amenable number.

243115221329 is a deficient number, since it is larger than the sum of its proper divisors (1).

243115221329 is an equidigital number, since it uses as much as digits as its factorization.

243115221329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25920, while the sum is 35.

The spelling of 243115221329 in words is "two hundred forty-three billion, one hundred fifteen million, two hundred twenty-one thousand, three hundred twenty-nine".