Search a number
-
+
13332000331 = 131699603613
BaseRepresentation
bin11000110101010011…
…00010111001001011
31021102010111210022001
430122221202321023
5204300443002311
610042531011431
7651244063426
oct143251427113
937363453261
1013332000331
1157216261a1
122700a39b77
1313460c50c0
149068ac9bd
155306824c1
hex31aa62e4b

13332000331 has 8 divisors (see below), whose sum is σ = 14366013200. Its totient is φ = 12299198112.

The previous prime is 13332000329. The next prime is 13332000377. The reversal of 13332000331 is 13300023331.

13332000331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13332000331 - 21 = 13332000329 is a prime.

It is a super-2 number, since 2×133320003312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13332000299 and 13332000308.

It is not an unprimeable number, because it can be changed into a prime (13332000131) 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, 279720 + ... + 323893.

It is an arithmetic number, because the mean of its divisors is an integer number (1795751650).

Almost surely, 213332000331 is an apocalyptic number.

13332000331 is a deficient number, since it is larger than the sum of its proper divisors (1034012869).

13332000331 is a wasteful number, since it uses less digits than its factorization.

13332000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605325.

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 13332000331 its reverse (13300023331), we get a palindrome (26632023662).

The spelling of 13332000331 in words is "thirteen billion, three hundred thirty-two million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 13 1699 22087 603613 7846969 1025538487 13332000331