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2123112133 = 173719317489
BaseRepresentation
bin111111010001100…
…0001111011000101
312110222000021022201
41332203001323011
513322004042013
6550401354501
7103420104202
oct17643017305
95428007281
102123112133
1199a49462a
124b3038a31
1327ab2098c
14161d84ca9
15c65d03dd
hex7e8c1ec5

2123112133 has 16 divisors (see below), whose sum is σ = 2320853040. Its totient is φ = 1934032896.

The previous prime is 2123112091. The next prime is 2123112151. The reversal of 2123112133 is 3312113212.

It can be written as a sum of positive squares in 8 ways, for example, as 39463524 + 2083648609 = 6282^2 + 45647^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123112133 - 229 = 1586241221 is a prime.

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 2123112133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123112163) 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, 112653 + ... + 130141.

It is an arithmetic number, because the mean of its divisors is an integer number (145053315).

Almost surely, 22123112133 is an apocalyptic number.

It is an amenable number.

2123112133 is a deficient number, since it is larger than the sum of its proper divisors (197740907).

2123112133 is a wasteful number, since it uses less digits than its factorization.

2123112133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17736.

The product of its digits is 216, while the sum is 19.

The square root of 2123112133 is about 46077.2409438760. The cubic root of 2123112133 is about 1285.2599580046.

Adding to 2123112133 its reverse (3312113212), we get a palindrome (5435225345).

The spelling of 2123112133 in words is "two billion, one hundred twenty-three million, one hundred twelve thousand, one hundred thirty-three".

Divisors: 1 17 37 193 629 3281 7141 17489 121397 297313 647093 3375377 11000581 57381409 124888949 2123112133