Search a number
-
+
1330131321 = 3373674851
BaseRepresentation
bin100111101001000…
…0011000101111001
310102200212200011000
41033102003011321
510211003200241
6335553155213
744650633611
oct11722030571
93380780130
101330131321
11622908392
1231155bb09
1318275796c
14c8925a41
157bb92eb6
hex4f483179

1330131321 has 16 divisors (see below), whose sum is σ = 1997561920. Its totient is φ = 874605600.

The previous prime is 1330131311. The next prime is 1330131337. The reversal of 1330131321 is 1231310331.

It is a happy number.

1330131321 is a `hidden beast` number, since 1 + 330 + 1 + 313 + 21 = 666.

It is not a de Polignac number, because 1330131321 - 214 = 1330114937 is a prime.

It is a super-2 number, since 2×13301313212 = 3538498662210410082, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1330131294 and 1330131303.

It is not an unprimeable number, because it can be changed into a prime (1330131311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335455 + ... + 339396.

It is an arithmetic number, because the mean of its divisors is an integer number (124847620).

Almost surely, 21330131321 is an apocalyptic number.

It is an amenable number.

1330131321 is a deficient number, since it is larger than the sum of its proper divisors (667430599).

1330131321 is an equidigital number, since it uses as much as digits as its factorization.

1330131321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674933 (or 674927 counting only the distinct ones).

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

The square root of 1330131321 is about 36470.9654519866. The cubic root of 1330131321 is about 1099.7606424104.

Adding to 1330131321 its reverse (1231310331), we get a palindrome (2561441652).

It can be divided in two parts, 1330 and 131321, that added together give a cube (132651 = 513).

The spelling of 1330131321 in words is "one billion, three hundred thirty million, one hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 27 73 219 657 1971 674851 2024553 6073659 18220977 49264123 147792369 443377107 1330131321