Search a number
-
+
13311014660 = 2255312557561
BaseRepresentation
bin11000110010110010…
…11111011100000100
31021100200000121100222
430121121133130010
5204230104432120
610040501123512
7650600520626
oct143131373404
937320017328
1013311014660
1157107a2369
1226b59b9598
131341958148
14903ba8c16
1552d8d9525
hex31965f704

13311014660 has 24 divisors (see below), whose sum is σ = 28480550616. Its totient is φ = 5223944960.

The previous prime is 13311014627. The next prime is 13311014663. The reversal of 13311014660 is 6641011331.

13311014660 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 4 ways, for example, as 533425216 + 12777589444 = 23096^2 + 113038^2 .

It is a super-2 number, since 2×133110146602 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13311014663) 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 7 ways as a sum of consecutive naturals, for example, 6277721 + ... + 6279840.

It is an arithmetic number, because the mean of its divisors is an integer number (1186689609).

Almost surely, 213311014660 is an apocalyptic number.

13311014660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311014660 is an abundant number, since it is smaller than the sum of its proper divisors (15169535956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13311014660 is a wasteful number, since it uses less digits than its factorization.

13311014660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12557623 (or 12557621 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 13311014660 its reverse (6641011331), we get a palindrome (19952025991).

The spelling of 13311014660 in words is "thirteen billion, three hundred eleven million, fourteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 12557561 25115122 50230244 62787805 125575610 251151220 665550733 1331101466 2662202932 3327753665 6655507330 13311014660