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1306681417 is a prime number
BaseRepresentation
bin100110111100010…
…0110000001001001
310101001202021221001
41031320212001021
510134002301132
6333354415001
744244415546
oct11570460111
93331667831
101306681417
116106510a8
12305731461
1317a937192
14c577dbcd
1579aaece7
hex4de26049

1306681417 has 2 divisors, whose sum is σ = 1306681418. Its totient is φ = 1306681416.

The previous prime is 1306681399. The next prime is 1306681459. The reversal of 1306681417 is 7141866031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1306388736 + 292681 = 36144^2 + 541^2 .

It is a cyclic number.

It is not a de Polignac number, because 1306681417 - 27 = 1306681289 is a prime.

It is not a weakly prime, because it can be changed into another prime (1306681487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 653340708 + 653340709.

It is an arithmetic number, because the mean of its divisors is an integer number (653340709).

Almost surely, 21306681417 is an apocalyptic number.

It is an amenable number.

1306681417 is a deficient number, since it is larger than the sum of its proper divisors (1).

1306681417 is an equidigital number, since it uses as much as digits as its factorization.

1306681417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 1306681417 is about 36148.0485918673. The cubic root of 1306681417 is about 1093.2594455963.

The spelling of 1306681417 in words is "one billion, three hundred six million, six hundred eighty-one thousand, four hundred seventeen".