Search a number
-
+
13303330101 = 329729352009
BaseRepresentation
bin11000110001111000…
…01011010100110101
31021100010120012010200
430120330023110311
5204221123030401
610040024311113
7650445303645
oct143074132465
937303505120
1013303330101
115707423896
1226b3312499
131340197479
14902b68525
1552cdbc686
hex318f0b535

13303330101 has 24 divisors (see below), whose sum is σ = 19480657560. Its totient is φ = 8747329536.

The previous prime is 13303330043. The next prime is 13303330141. The reversal of 13303330101 is 10103330331.

13303330101 is a `hidden beast` number, since 1 + 330 + 3 + 330 + 1 + 0 + 1 = 666.

13303330101 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 9582452100 + 3720878001 = 97890^2 + 60999^2 .

It is not a de Polignac number, because 13303330101 - 26 = 13303330037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13303330141) 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 23 ways as a sum of consecutive naturals, for example, 229785 + ... + 281793.

It is an arithmetic number, because the mean of its divisors is an integer number (811694065).

Almost surely, 213303330101 is an apocalyptic number.

It is an amenable number.

13303330101 is a deficient number, since it is larger than the sum of its proper divisors (6177327459).

13303330101 is a wasteful number, since it uses less digits than its factorization.

13303330101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52405 (or 52402 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13303330101 its reverse (10103330331), we get a palindrome (23406660432).

The spelling of 13303330101 in words is "thirteen billion, three hundred three million, three hundred thirty thousand, one hundred one".

Divisors: 1 3 9 97 291 293 873 879 2637 28421 52009 85263 156027 255789 468081 5044873 15134619 15238637 45403857 45715911 137147733 1478147789 4434443367 13303330101