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288760013 is a prime number
BaseRepresentation
bin10001001101100…
…010000011001101
3202010100112021022
4101031202003031
51042410310023
644353043525
710104263633
oct2115420315
9663315238
10288760013
11138aa7743
12808565a5
1347a93a19
142a4c9353
151a53d7c8
hex113620cd

288760013 has 2 divisors, whose sum is σ = 288760014. Its totient is φ = 288760012.

The previous prime is 288759973. The next prime is 288760037. The reversal of 288760013 is 310067882.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223263364 + 65496649 = 14942^2 + 8093^2 .

It is a cyclic number.

It is not a de Polignac number, because 288760013 - 26 = 288759949 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (288760513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144380006 + 144380007.

It is an arithmetic number, because the mean of its divisors is an integer number (144380007).

Almost surely, 2288760013 is an apocalyptic number.

It is an amenable number.

288760013 is a deficient number, since it is larger than the sum of its proper divisors (1).

288760013 is an equidigital number, since it uses as much as digits as its factorization.

288760013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 288760013 is about 16992.9400928739. The cubic root of 288760013 is about 660.9658440821.

The spelling of 288760013 in words is "two hundred eighty-eight million, seven hundred sixty thousand, thirteen".