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2128042000513 = 111373652931223
BaseRepresentation
bin11110111101111001001…
…100000000000010000001
321112102211220110102020101
4132331321030000002001
5234331212223004023
64305335313242401
7306513602360062
oct36757114000201
97472756412211
102128042000513
1175055225aa20
122a4518b63401
1312589a8a8b10
1474dd7cb4569
153a54dec81ad
hex1ef79300081

2128042000513 has 32 divisors (see below), whose sum is σ = 2534794295040. Its totient is φ = 1760980746240.

The previous prime is 2128042000481. The next prime is 2128042000549. The reversal of 2128042000513 is 3150002408212.

It is a cyclic number.

It is not a de Polignac number, because 2128042000513 - 25 = 2128042000481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2128042010513) 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 31 ways as a sum of consecutive naturals, for example, 68140620 + ... + 68171842.

It is an arithmetic number, because the mean of its divisors is an integer number (79212321720).

Almost surely, 22128042000513 is an apocalyptic number.

It is an amenable number.

2128042000513 is a deficient number, since it is larger than the sum of its proper divisors (406752294527).

2128042000513 is a wasteful number, since it uses less digits than its factorization.

2128042000513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37849.

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 2128042000513 its reverse (3150002408212), we get a palindrome (5278044408725).

The spelling of 2128042000513 in words is "two trillion, one hundred twenty-eight billion, forty-two million, five hundred thirteen", and thus it is an aban number.

Divisors: 1 11 13 73 143 803 949 6529 10439 31223 71819 84877 343453 405899 476617 933647 2279279 4464889 5242787 6196021 25072069 29630627 68156231 203854967 325936897 2242404637 2650114571 14881412591 29151260281 163695538501 193458363683 2128042000513