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3002431313 = 731131105619
BaseRepresentation
bin1011001011110101…
…0111011101010001
321202020121022110202
42302331113131101
522122110300223
61213532304545
7134255150030
oct26275273521
97666538422
103002431313
1113008810a2
126b9612155
1338b05609b
14206a7a717
151288c4428
hexb2f57751

3002431313 has 16 divisors (see below), whose sum is σ = 3569111040. Its totient is φ = 2471461200.

The previous prime is 3002431307. The next prime is 3002431331. The reversal of 3002431313 is 3131342003.

It is a cyclic number.

It is not a de Polignac number, because 3002431313 - 28 = 3002431057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3002431363) 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 15 ways as a sum of consecutive naturals, for example, 24383 + ... + 81236.

It is an arithmetic number, because the mean of its divisors is an integer number (223069440).

Almost surely, 23002431313 is an apocalyptic number.

It is an amenable number.

3002431313 is a deficient number, since it is larger than the sum of its proper divisors (566679727).

3002431313 is a wasteful number, since it uses less digits than its factorization.

3002431313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105788.

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 3002431313 is about 54794.4460050469. The cubic root of 3002431313 is about 1442.6390828933.

Adding to 3002431313 its reverse (3131342003), we get a palindrome (6133773316).

The spelling of 3002431313 in words is "three billion, two million, four hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 7 31 131 217 917 4061 28427 105619 739333 3274189 13836089 22919323 96852623 428918759 3002431313