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2001316005 = 34513380117
BaseRepresentation
bin111011101001001…
…1010100010100101
312011110211101110000
41313102122202211
513044314103010
6530331051513
7100410622353
oct16722324245
95143741400
102001316005
11937766377
1247a2a0b99
1325b818370
1414db1c7d3
15baa727c0
hex7749a8a5

2001316005 has 40 divisors (see below), whose sum is σ = 3863519352. Its totient is φ = 985260672.

The previous prime is 2001315989. The next prime is 2001316081. The reversal of 2001316005 is 5006131002.

It can be written as a sum of positive squares in 4 ways, for example, as 152917956 + 1848398049 = 12366^2 + 42993^2 .

It is not a de Polignac number, because 2001316005 - 24 = 2001315989 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 184794 + ... + 195323.

Almost surely, 22001316005 is an apocalyptic number.

It is an amenable number.

2001316005 is a deficient number, since it is larger than the sum of its proper divisors (1862203347).

2001316005 is a wasteful number, since it uses less digits than its factorization.

2001316005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380147 (or 380138 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2001316005 is about 44736.0705136247. The cubic root of 2001316005 is about 1260.1973330389.

Adding to 2001316005 its reverse (5006131002), we get a palindrome (7007447007).

The spelling of 2001316005 in words is "two billion, one million, three hundred sixteen thousand, five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1053 1755 5265 380117 1140351 1900585 3421053 4941521 5701755 10263159 14824563 17105265 24707605 30789477 44473689 51315795 74122815 133421067 153947385 222368445 400263201 667105335 2001316005