Search a number
-
+
289371191101 is a prime number
BaseRepresentation
bin1000011010111111101…
…11011111011100111101
31000122220202221120222021
410031133313133130331
514220113011103401
6340534004520141
726622613353316
oct4153767373475
91018822846867
10289371191101
111017a3547913
12480b99b0051
1321397a99a85
141001169760d
1577d94e22a1
hex435fddf73d

289371191101 has 2 divisors, whose sum is σ = 289371191102. Its totient is φ = 289371191100.

The previous prime is 289371191099. The next prime is 289371191147. The reversal of 289371191101 is 101191173982.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 288836379225 + 534811876 = 537435^2 + 23126^2 .

It is a cyclic number.

It is not a de Polignac number, because 289371191101 - 21 = 289371191099 is a prime.

It is a super-2 number, since 2×2893711911012 (a number of 24 digits) contains 22 as substring.

Together with 289371191099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (289371191801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144685595550 + 144685595551.

It is an arithmetic number, because the mean of its divisors is an integer number (144685595551).

Almost surely, 2289371191101 is an apocalyptic number.

It is an amenable number.

289371191101 is a deficient number, since it is larger than the sum of its proper divisors (1).

289371191101 is an equidigital number, since it uses as much as digits as its factorization.

289371191101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 43.

The spelling of 289371191101 in words is "two hundred eighty-nine billion, three hundred seventy-one million, one hundred ninety-one thousand, one hundred one".