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2132330013 = 321121619967
BaseRepresentation
bin111111100011000…
…1100011000011101
312111121100120212200
41333012030120131
513331334030023
6551331122113
7103561335402
oct17706143035
95447316780
102132330013
119a4710110
124b6143339
1327c9ca548
141632a42a9
15c7301743
hex7f18c61d

2132330013 has 24 divisors (see below), whose sum is σ = 3361927296. Its totient is φ = 1291593600.

The previous prime is 2132329993. The next prime is 2132330027. The reversal of 2132330013 is 3100332312.

It is a de Polignac number, because none of the positive numbers 2k-2132330013 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132330113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208956 + ... + 218922.

It is an arithmetic number, because the mean of its divisors is an integer number (140080304).

Almost surely, 22132330013 is an apocalyptic number.

It is an amenable number.

2132330013 is a deficient number, since it is larger than the sum of its proper divisors (1229597283).

2132330013 is a wasteful number, since it uses less digits than its factorization.

2132330013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12145 (or 12142 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2132330013 is about 46177.1589966295. The cubic root of 2132330013 is about 1287.1173363425.

Adding to 2132330013 its reverse (3100332312), we get a palindrome (5232662325).

The spelling of 2132330013 in words is "two billion, one hundred thirty-two million, three hundred thirty thousand, thirteen".

Divisors: 1 3 9 11 33 99 2161 6483 9967 19449 23771 29901 71313 89703 109637 213939 328911 986733 21538687 64616061 193848183 236925557 710776671 2132330013