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3001311313 = 711132998313
BaseRepresentation
bin1011001011100100…
…0110000001010001
321202011111102010021
42302321012001101
522121313430223
61213452303441
7134242503520
oct26271060121
97664442107
103001311313
111300186680
126b9171b81
1338aa53370
142068684b7
1512875265d
hexb2e46051

3001311313 has 16 divisors (see below), whose sum is σ = 4029734016. Its totient is φ = 2158784640.

The previous prime is 3001311293. The next prime is 3001311317. The reversal of 3001311313 is 3131131003.

It is a cyclic number.

It is not a de Polignac number, because 3001311313 - 29 = 3001310801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3001311317) 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 in 15 ways as a sum of consecutive naturals, for example, 1498156 + ... + 1500157.

It is an arithmetic number, because the mean of its divisors is an integer number (251858376).

Almost surely, 23001311313 is an apocalyptic number.

It is an amenable number.

3001311313 is a deficient number, since it is larger than the sum of its proper divisors (1028422703).

3001311313 is a wasteful number, since it uses less digits than its factorization.

3001311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998344.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 3001311313 is about 54784.2250378702. The cubic root of 3001311313 is about 1442.4596775431.

Adding to 3001311313 its reverse (3131131003), we get a palindrome (6132442316).

The spelling of 3001311313 in words is "three billion, one million, three hundred eleven thousand, three hundred thirteen".

Divisors: 1 7 11 13 77 91 143 1001 2998313 20988191 32981443 38978069 230870101 272846483 428758759 3001311313