Search a number
-
+
13221300333 = 317259241183
BaseRepresentation
bin11000101000000110…
…10000100001101101
31021010102012122110010
430110003100201231
5204034123102313
610023534203433
7645431125053
oct142403204155
937112178403
1013221300333
11567509669a
12268b953579
1313291a6247
148d5cd41d3
15525ab74c3
hex3140d086d

13221300333 has 8 divisors (see below), whose sum is σ = 18665365248. Its totient is φ = 8295717824.

The previous prime is 13221300331. The next prime is 13221300349. The reversal of 13221300333 is 33300312231.

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 13221300333 - 21 = 13221300331 is a prime.

It is a super-3 number, since 3×132213003333 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221300331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129620541 + ... + 129620642.

It is an arithmetic number, because the mean of its divisors is an integer number (2333170656).

Almost surely, 213221300333 is an apocalyptic number.

It is an amenable number.

13221300333 is a deficient number, since it is larger than the sum of its proper divisors (5444064915).

13221300333 is a wasteful number, since it uses less digits than its factorization.

13221300333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259241203.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13221300333 its reverse (33300312231), we get a palindrome (46521612564).

The spelling of 13221300333 in words is "thirteen billion, two hundred twenty-one million, three hundred thousand, three hundred thirty-three".

Divisors: 1 3 17 51 259241183 777723549 4407100111 13221300333