Search a number
-
+
13331132321 = 132140147917
BaseRepresentation
bin11000110101001100…
…01110111110100001
31021102001212200121112
430122212032332201
5204300232213241
610042500233105
7651233516663
oct143246167641
937361780545
1013331132321
115721093031
12270069b795
131345b7cca0
14906724533
155305601eb
hex31a98efa1

13331132321 has 8 divisors (see below), whose sum is σ = 14357574504. Its totient is φ = 12304828800.

The previous prime is 13331132303. The next prime is 13331132359. The reversal of 13331132321 is 12323113331.

It can be written as a sum of positive squares in 4 ways, for example, as 412536721 + 12918595600 = 20311^2 + 113660^2 .

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 13331132321 - 218 = 13330870177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13336132321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254255 + ... + 302171.

It is an arithmetic number, because the mean of its divisors is an integer number (1794696813).

Almost surely, 213331132321 is an apocalyptic number.

It is an amenable number.

13331132321 is a deficient number, since it is larger than the sum of its proper divisors (1026442183).

13331132321 is a wasteful number, since it uses less digits than its factorization.

13331132321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69331.

The product of its digits is 972, while the sum is 23.

Adding to 13331132321 its reverse (12323113331), we get a palindrome (25654245652).

The spelling of 13331132321 in words is "thirteen billion, three hundred thirty-one million, one hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 13 21401 47917 278213 622921 1025471717 13331132321