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2032032013 = 11297717189
BaseRepresentation
bin111100100011110…
…0101100100001101
312020121121220212221
41321013211210031
513130200011023
6533345255341
7101232662404
oct17107454415
95217556787
102032032013
11953035800
12488634551
13264cb120b
14153c3663b
15bd5dd85d
hex791e590d

2032032013 has 12 divisors (see below), whose sum is σ = 2235972060. Its totient is φ = 1845303680.

The previous prime is 2032031993. The next prime is 2032032017. The reversal of 2032032013 is 3102302302.

It can be written as a sum of positive squares in 2 ways, for example, as 1899390724 + 132641289 = 43582^2 + 11517^2 .

It is a de Polignac number, because none of the positive numbers 2k-2032032013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032032017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109623 + ... + 126811.

It is an arithmetic number, because the mean of its divisors is an integer number (186331005).

Almost surely, 22032032013 is an apocalyptic number.

It is an amenable number.

2032032013 is a deficient number, since it is larger than the sum of its proper divisors (203940047).

2032032013 is a wasteful number, since it uses less digits than its factorization.

2032032013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18188 (or 18177 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2032032013 is about 45078.0657637392. The cubic root of 2032032013 is about 1266.6117577844.

Adding to 2032032013 its reverse (3102302302), we get a palindrome (5134334315).

The spelling of 2032032013 in words is "two billion, thirty-two million, thirty-two thousand, thirteen".

Divisors: 1 11 121 977 10747 17189 118217 189079 2079869 16793653 184730183 2032032013