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233020020213 = 3410128483073
BaseRepresentation
bin1101100100000100010…
…0110101010111110101
3211021110120021111210000
43121001010311113311
512304211111121323
6255014203421513
722556311330341
oct3310104652765
9737416244700
10233020020213
118a9067aa102
12391b1b24899
1318c87288186
14b3c7664621
1560dc298e43
hex36411355f5

233020020213 has 20 divisors (see below), whose sum is σ = 351538099308. Its totient is φ = 153808588800.

The previous prime is 233020020199. The next prime is 233020020217. The reversal of 233020020213 is 312020020332.

It is a happy number.

233020020213 is a `hidden beast` number, since 233 + 0 + 200 + 20 + 213 = 666.

233020020213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 178335600804 + 54684419409 = 422298^2 + 233847^2 .

It is not a de Polignac number, because 233020020213 - 222 = 233015825909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233020020217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14233356 + ... + 14249717.

Almost surely, 2233020020213 is an apocalyptic number.

It is an amenable number.

233020020213 is a deficient number, since it is larger than the sum of its proper divisors (118518079095).

233020020213 is a wasteful number, since it uses less digits than its factorization.

233020020213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28483186 (or 28483177 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 233020020213 its reverse (312020020332), we get a palindrome (545040040545).

The spelling of 233020020213 in words is "two hundred thirty-three billion, twenty million, twenty thousand, two hundred thirteen".

Divisors: 1 3 9 27 81 101 303 909 2727 8181 28483073 85449219 256347657 769042971 2307128913 2876790373 8630371119 25891113357 77673340071 233020020213