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2130001311 = 33789251859
BaseRepresentation
bin111111011110101…
…0011110110011111
312111102222021111110
41332331103312133
513330240020221
6551205153103
7103532466234
oct17675236637
95442867443
102130001311
119a336a569
124b53bb793
1327c393609
14162c5978b
15c6ee1776
hex7ef53d9f

2130001311 has 32 divisors (see below), whose sum is σ = 2964729600. Its totient is φ = 1359072000.

The previous prime is 2130001301. The next prime is 2130001331. The reversal of 2130001311 is 1131000312.

It is not a de Polignac number, because 2130001311 - 27 = 2130001183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130001301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2479200 + ... + 2480058.

It is an arithmetic number, because the mean of its divisors is an integer number (92647800).

Almost surely, 22130001311 is an apocalyptic number.

2130001311 is a deficient number, since it is larger than the sum of its proper divisors (834728289).

2130001311 is a wasteful number, since it uses less digits than its factorization.

2130001311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 2130001311 is about 46151.9372399469. The cubic root of 2130001311 is about 1286.6486151980.

Adding to 2130001311 its reverse (1131000312), we get a palindrome (3261001623).

Subtracting from 2130001311 its reverse (1131000312), we obtain a palindrome (999000999).

It can be divided in two parts, 2130001 and 311, that added together give a palindrome (2130312).

The spelling of 2130001311 in words is "two billion, one hundred thirty million, one thousand, three hundred eleven".

Divisors: 1 3 37 89 111 251 267 753 859 2577 3293 9287 9879 22339 27861 31783 67017 76451 95349 215609 229353 646827 826543 2479629 2828687 7977533 8486061 19189201 23932599 57567603 710000437 2130001311