Search a number
-
+
213202133333 = 7235327978933
BaseRepresentation
bin1100011010001111010…
…1100110000101010101
3202101022102102112202122
43012203311212011111
511443114221231313
6241535501345325
721255230142440
oct3064365460525
9671272375678
10213202133333
11824670563a2
12353a0b68245
13171495441a7
14a467626657
15582c502708
hex31a3d66155

213202133333 has 32 divisors (see below), whose sum is σ = 259172338176. Its totient is φ = 171420657408.

The previous prime is 213202133257. The next prime is 213202133357. The reversal of 213202133333 is 333331202312.

It is a happy number.

213202133333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213202133333 - 212 = 213202129237 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213202133393) 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 31 ways as a sum of consecutive naturals, for example, 23862335 + ... + 23871267.

It is an arithmetic number, because the mean of its divisors is an integer number (8099135568).

Almost surely, 2213202133333 is an apocalyptic number.

213202133333 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

213202133333 is a deficient number, since it is larger than the sum of its proper divisors (45970204843).

213202133333 is a wasteful number, since it uses less digits than its factorization.

213202133333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11813.

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 213202133333 its reverse (333331202312), we get a palindrome (546533335645).

The spelling of 213202133333 in words is "two hundred thirteen billion, two hundred two million, one hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 7 23 53 161 371 1219 2797 8533 8933 19579 62531 64331 148241 205459 450317 473449 1037687 1438213 3314143 3409543 10889327 23866801 24985601 76225289 174899207 574668823 1324236853 4022681761 9269657971 30457447619 213202133333