Search a number
-
+
289131439901 is a prime number
BaseRepresentation
bin1000011010100011001…
…00111010011100011101
31000122022001210222011012
410031101210322130131
514214120122034101
6340454122105005
726613642455243
oct4152144723435
91018261728135
10289131439901
11101690184227
124805164b165
132135a205265
14ddcb8c8793
1577c3434bbb
hex435193a71d

289131439901 has 2 divisors, whose sum is σ = 289131439902. Its totient is φ = 289131439900.

The previous prime is 289131439867. The next prime is 289131439921. The reversal of 289131439901 is 109934131982.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 216549691801 + 72581748100 = 465349^2 + 269410^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-289131439901 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 289131439901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (289131439921) 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, 144565719950 + 144565719951.

It is an arithmetic number, because the mean of its divisors is an integer number (144565719951).

Almost surely, 2289131439901 is an apocalyptic number.

It is an amenable number.

289131439901 is a deficient number, since it is larger than the sum of its proper divisors (1).

289131439901 is an equidigital number, since it uses as much as digits as its factorization.

289131439901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 419904, while the sum is 50.

The spelling of 289131439901 in words is "two hundred eighty-nine billion, one hundred thirty-one million, four hundred thirty-nine thousand, nine hundred one".