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1306788013 is a prime number
BaseRepresentation
bin100110111100100…
…0000000010101101
310101001221201011001
41031321000002231
510134014204023
6333401000301
744245341406
oct11571000255
93331851131
101306788013
116107141a3
12305783091
1317a97385b
14c57aa9ad
1579ad16ad
hex4de400ad

1306788013 has 2 divisors, whose sum is σ = 1306788014. Its totient is φ = 1306788012.

The previous prime is 1306788001. The next prime is 1306788019. The reversal of 1306788013 is 3108876031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1303354404 + 3433609 = 36102^2 + 1853^2 .

It is an emirp because it is prime and its reverse (3108876031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1306788013 - 229 = 769917101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1306788019) 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, 653394006 + 653394007.

It is an arithmetic number, because the mean of its divisors is an integer number (653394007).

Almost surely, 21306788013 is an apocalyptic number.

It is an amenable number.

1306788013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1306788013 is an equidigital number, since it uses as much as digits as its factorization.

1306788013 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 1306788013 is about 36149.5229982361. The cubic root of 1306788013 is about 1093.2891733003.

The spelling of 1306788013 in words is "one billion, three hundred six million, seven hundred eighty-eight thousand, thirteen".