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3001164313 = 73716371089
BaseRepresentation
bin1011001011100010…
…0010001000011001
321202011012221110211
42302320202020121
522121244224223
61213445211121
7134241322120
oct26270421031
97664187424
103001164313
111300096194
126b9100aa1
1338aa01494
1420682aab7
15128723d0d
hexb2e22219

3001164313 has 16 divisors (see below), whose sum is σ = 3544263040. Its totient is φ = 2487511296.

The previous prime is 3001164311. The next prime is 3001164319. The reversal of 3001164313 is 3134611003.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 3001164313 - 21 = 3001164311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3001164311) 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, 6673 + ... + 77761.

It is an arithmetic number, because the mean of its divisors is an integer number (221516440).

Almost surely, 23001164313 is an apocalyptic number.

It is an amenable number.

3001164313 is a deficient number, since it is larger than the sum of its proper divisors (543098727).

3001164313 is a wasteful number, since it uses less digits than its factorization.

3001164313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71296.

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 3001164313 is about 54782.8833943596. The cubic root of 3001164313 is about 1442.4361272776.

Adding to 3001164313 its reverse (3134611003), we get a palindrome (6135775316).

The spelling of 3001164313 in words is "three billion, one million, one hundred sixty-four thousand, three hundred thirteen".

Divisors: 1 7 37 163 259 1141 6031 42217 71089 497623 2630293 11587507 18412051 81112549 428737759 3001164313