Search a number
-
+
13311133101 = 327211287827
BaseRepresentation
bin11000110010110011…
…11100010110101101
31021100200020121211200
430121121330112231
5204230122224401
610040503440113
7650601523140
oct143131742655
937320217750
1013311133101
115710873352
1226b5a56039
13134199a026
14903bda057
1552d90e686
hex31967c5ad

13311133101 has 12 divisors (see below), whose sum is σ = 21973934112. Its totient is φ = 7606361736.

The previous prime is 13311133079. The next prime is 13311133111. The reversal of 13311133101 is 10133111331.

13311133101 is a `hidden beast` number, since 1 + 331 + 1 + 1 + 331 + 0 + 1 = 666.

It is not a de Polignac number, because 13311133101 - 27 = 13311132973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311133111) 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 11 ways as a sum of consecutive naturals, for example, 105643851 + ... + 105643976.

It is an arithmetic number, because the mean of its divisors is an integer number (1831161176).

Almost surely, 213311133101 is an apocalyptic number.

It is an amenable number.

13311133101 is a deficient number, since it is larger than the sum of its proper divisors (8662801011).

13311133101 is a wasteful number, since it uses less digits than its factorization.

13311133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211287840 (or 211287837 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 13311133101 its reverse (10133111331), we get a palindrome (23444244432).

The spelling of 13311133101 in words is "thirteen billion, three hundred eleven million, one hundred thirty-three thousand, one hundred one".

Divisors: 1 3 7 9 21 63 211287827 633863481 1479014789 1901590443 4437044367 13311133101