Search a number
-
+
13303321000011 = 337210055420257
BaseRepresentation
bin1100000110010110101110…
…1110001111100001001011
31202002210012022110211121000
43001211223232033201023
53220430200134000021
644143243350150043
72542063460511600
oct301455356174113
952083168424530
1013303321000011
1142699a79844a9
1215aa333352323
1375666183c993
1433dc5424c6a7
151810b3695b26
hexc196bb8f84b

13303321000011 has 24 divisors (see below), whose sum is σ = 22926358188240. Its totient is φ = 7601897713536.

The previous prime is 13303321000009. The next prime is 13303321000043. The reversal of 13303321000011 is 11000012330331.

It is a happy number.

13303321000011 is a `hidden beast` number, since 1 + 330 + 3 + 321 + 0 + 0 + 0 + 0 + 11 = 666.

It is not a de Polignac number, because 13303321000011 - 21 = 13303321000009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13303321000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5027708806 + ... + 5027711451.

It is an arithmetic number, because the mean of its divisors is an integer number (955264924510).

Almost surely, 213303321000011 is an apocalyptic number.

13303321000011 is a deficient number, since it is larger than the sum of its proper divisors (9623037188229).

13303321000011 is a wasteful number, since it uses less digits than its factorization.

13303321000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10055420280 (or 10055420267 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13303321000011 its reverse (11000012330331), we get a palindrome (24303333330342).

The spelling of 13303321000011 in words is "thirteen trillion, three hundred three billion, three hundred twenty-one million, eleven", and thus it is an aban number.

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 10055420257 30166260771 70387941799 90498782313 211163825397 271496346939 492715592593 633491476191 1478146777779 1900474428573 4434440333337 13303321000011