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289126141 is a prime number
BaseRepresentation
bin10001001110111…
…011011011111101
3202011001010111121
4101032323123331
51043004014031
644404550541
710110350233
oct2116733375
9664033447
10289126141
11139227827
12809b2451
1347b91575
142a582953
151a5b2011
hex113bb6fd

289126141 has 2 divisors, whose sum is σ = 289126142. Its totient is φ = 289126140.

The previous prime is 289126139. The next prime is 289126171. The reversal of 289126141 is 141621982.

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., 276523641 + 12602500 = 16629^2 + 3550^2 .

It is a cyclic number.

It is not a de Polignac number, because 289126141 - 21 = 289126139 is a prime.

Together with 289126139, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 289126097 and 289126106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (289126111) 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, 144563070 + 144563071.

It is an arithmetic number, because the mean of its divisors is an integer number (144563071).

Almost surely, 2289126141 is an apocalyptic number.

It is an amenable number.

289126141 is a deficient number, since it is larger than the sum of its proper divisors (1).

289126141 is an equidigital number, since it uses as much as digits as its factorization.

289126141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 34.

The square root of 289126141 is about 17003.7096246672. The cubic root of 289126141 is about 661.2450793001.

It can be divided in two parts, 28912 and 6141, that added together give a palindrome (35053).

The spelling of 289126141 in words is "two hundred eighty-nine million, one hundred twenty-six thousand, one hundred forty-one".