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1330313005 = 5725429849
BaseRepresentation
bin100111101001010…
…1111011100101101
310102201012220101001
41033102233130231
510211030004010
6340001120301
744652321400
oct11722573455
93381186331
101330313005
11622a2193a
12311629091
131827bc578
14c8971d37
157bbcbc3a
hex4f4af72d

1330313005 has 12 divisors (see below), whose sum is σ = 1857008700. Its totient is φ = 912214464.

The previous prime is 1330313003. The next prime is 1330313009. The reversal of 1330313005 is 5003130331.

It can be written as a sum of positive squares in 2 ways, for example, as 342028036 + 988284969 = 18494^2 + 31437^2 .

It is not a de Polignac number, because 1330313005 - 21 = 1330313003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330313003) 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 in 11 ways as a sum of consecutive naturals, for example, 2714680 + ... + 2715169.

It is an arithmetic number, because the mean of its divisors is an integer number (154750725).

Almost surely, 21330313005 is an apocalyptic number.

It is an amenable number.

1330313005 is a deficient number, since it is larger than the sum of its proper divisors (526695695).

1330313005 is an equidigital number, since it uses as much as digits as its factorization.

1330313005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5429868 (or 5429861 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 19.

The square root of 1330313005 is about 36473.4561702068. The cubic root of 1330313005 is about 1099.8107126085.

Adding to 1330313005 its reverse (5003130331), we get a palindrome (6333443336).

The spelling of 1330313005 in words is "one billion, three hundred thirty million, three hundred thirteen thousand, five".

Divisors: 1 5 7 35 49 245 5429849 27149245 38008943 190044715 266062601 1330313005