Search a number
-
+
13202442200241 = 3271767183988213
BaseRepresentation
bin1100000000011110111011…
…1000001010010010110001
31201202010210220012211200200
43000013232320022102301
53212302100200401431
644025041311305413
72531562553042620
oct300075670122261
951663726184620
1013202442200241
1142301404870a8
12159287b21b269
13749ca5c4a398
143390045cd6b7
1517d65c21aee6
hexc01eee0a4b1

13202442200241 has 48 divisors (see below), whose sum is σ = 23420963689344. Its totient is φ = 6994495867392.

The previous prime is 13202442200141. The next prime is 13202442200251. The reversal of 13202442200241 is 14200224420231.

It is a happy number.

13202442200241 is a `hidden beast` number, since 13 + 2 + 0 + 2 + 442 + 200 + 2 + 4 + 1 = 666.

It is not a de Polignac number, because 13202442200241 - 29 = 13202442199729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13202442200251) 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 47 ways as a sum of consecutive naturals, for example, 91922350 + ... + 92065863.

It is an arithmetic number, because the mean of its divisors is an integer number (487936743528).

Almost surely, 213202442200241 is an apocalyptic number.

It is an amenable number.

13202442200241 is a deficient number, since it is larger than the sum of its proper divisors (10218521489103).

13202442200241 is a wasteful number, since it uses less digits than its factorization.

13202442200241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183988310 (or 183988307 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 13202442200241 its reverse (14200224420231), we get a palindrome (27402666620472).

The spelling of 13202442200241 in words is "thirteen trillion, two hundred two billion, four hundred forty-two million, two hundred thousand, two hundred forty-one".

Divisors: 1 3 7 9 17 21 51 63 67 119 153 201 357 469 603 1071 1139 1407 3417 4221 7973 10251 23919 71757 183988213 551964639 1287917491 1655893917 3127799621 3863752473 9383398863 11591257419 12327210271 21894597347 28150196589 36981630813 65683792041 86290471897 110944892439 197051376123 209562574607 258871415691 628687723821 776614247073 1466938022249 1886063171463 4400814066747 13202442200241