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1313806329 = 321124235477
BaseRepresentation
bin100111001001111…
…0001011111111001
310101120011021110200
41032103301133321
510142313300304
6334211232413
744362112103
oct11623613771
93346137420
101313806329
11614678160
12307ba8709
1317c2601c4
14c66b6573
157a51ae39
hex4e4f17f9

1313806329 has 24 divisors (see below), whose sum is σ = 2071472832. Its totient is φ = 795772320.

The previous prime is 1313806313. The next prime is 1313806339. The reversal of 1313806329 is 9236083131.

1313806329 is a `hidden beast` number, since 1 + 3 + 13 + 8 + 0 + 632 + 9 = 666.

It is not a de Polignac number, because 1313806329 - 24 = 1313806313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313806293 and 1313806302.

It is not an unprimeable number, because it can be changed into a prime (1313806339) 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 23 ways as a sum of consecutive naturals, for example, 237139 + ... + 242615.

It is an arithmetic number, because the mean of its divisors is an integer number (86311368).

Almost surely, 21313806329 is an apocalyptic number.

It is an amenable number.

1313806329 is a deficient number, since it is larger than the sum of its proper divisors (757666503).

1313806329 is a wasteful number, since it uses less digits than its factorization.

1313806329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917 (or 7914 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1313806329 is about 36246.4664346747. The cubic root of 1313806329 is about 1095.2429085175.

The spelling of 1313806329 in words is "one billion, three hundred thirteen million, eight hundred six thousand, three hundred twenty-nine".

Divisors: 1 3 9 11 33 99 2423 5477 7269 16431 21807 26653 49293 60247 79959 180741 239877 542223 13270771 39812313 119436939 145978481 437935443 1313806329