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2133113233 = 173710133577
BaseRepresentation
bin111111100100100…
…1011100110010001
312111122211101020211
41333021023212101
513332034110413
6551400004121
7103601110006
oct17711134621
95448741224
102133113233
119a50a55a9
124b6460641
1327cc12ba4
141634298ad
15c740883d
hex7f24b991

2133113233 has 16 divisors (see below), whose sum is σ = 2342669904. Its totient is φ = 1933977600.

The previous prime is 2133113231. The next prime is 2133113239. The reversal of 2133113233 is 3323113312.

It can be written as a sum of positive squares in 8 ways, for example, as 1052807809 + 1080305424 = 32447^2 + 32868^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133113233 - 21 = 2133113231 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2133113231) 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, 46741 + ... + 80317.

It is an arithmetic number, because the mean of its divisors is an integer number (146416869).

Almost surely, 22133113233 is an apocalyptic number.

It is an amenable number.

2133113233 is a deficient number, since it is larger than the sum of its proper divisors (209556671).

2133113233 is a wasteful number, since it uses less digits than its factorization.

2133113233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33732.

The product of its digits is 972, while the sum is 22.

The square root of 2133113233 is about 46185.6388177104. The cubic root of 2133113233 is about 1287.2749061733.

Adding to 2133113233 its reverse (3323113312), we get a palindrome (5456226545).

The spelling of 2133113233 in words is "two billion, one hundred thirty-three million, one hundred thirteen thousand, two hundred thirty-three".

Divisors: 1 17 37 101 629 1717 3737 33577 63529 570809 1242349 3391277 21119933 57651709 125477249 2133113233