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2133003311 = 17413897867
BaseRepresentation
bin111111100100011…
…0000110000101111
312111122121210110122
41333020300300233
513332022101221
6551353355155
7103600141355
oct17710606057
95448553418
102133003311
119a502aa5a
124b6408abb
1327cba4b4a
141633db7d5
15c73d5eab
hex7f230c2f

2133003311 has 16 divisors (see below), whose sum is σ = 2319801120. Its totient is φ = 1953285120.

The previous prime is 2133003307. The next prime is 2133003317. The reversal of 2133003311 is 1133003312.

It is a cyclic number.

It is not a de Polignac number, because 2133003311 - 22 = 2133003307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2133003311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133003317) 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 15 ways as a sum of consecutive naturals, for example, 267200 + ... + 275066.

It is an arithmetic number, because the mean of its divisors is an integer number (144987570).

Almost surely, 22133003311 is an apocalyptic number.

2133003311 is a deficient number, since it is larger than the sum of its proper divisors (186797809).

2133003311 is a wasteful number, since it uses less digits than its factorization.

2133003311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8314.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 2133003311 is about 46184.4488004350. The cubic root of 2133003311 is about 1287.2527941634.

Adding to 2133003311 its reverse (1133003312), we get a palindrome (3266006623).

Subtracting from 2133003311 its reverse (1133003312), we obtain a palindrome (999999999).

The spelling of 2133003311 in words is "two billion, one hundred thirty-three million, three thousand, three hundred eleven".

Divisors: 1 17 41 389 697 6613 7867 15949 133739 271133 322547 3060263 5483299 52024471 125470783 2133003311