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13223101333 = 136116674781
BaseRepresentation
bin11000101000010100…
…01000001110010101
31021010112121010221211
430110022020032111
5204040103220313
610024040541421
7645452335561
oct142412101625
937115533854
1013223101333
115676106822
122690481871
131329686c20
148d62426a1
15525d20e3d
hex314288395

13223101333 has 8 divisors (see below), whose sum is σ = 14473710776. Its totient is φ = 12005841600.

The previous prime is 13223101321. The next prime is 13223101349. The reversal of 13223101333 is 33310132231.

It can be written as a sum of positive squares in 4 ways, for example, as 2241009 + 13220860324 = 1497^2 + 114982^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13223101333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223101303) 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, 8336598 + ... + 8338183.

It is an arithmetic number, because the mean of its divisors is an integer number (1809213847).

Almost surely, 213223101333 is an apocalyptic number.

13223101333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13223101333 is a deficient number, since it is larger than the sum of its proper divisors (1250609443).

13223101333 is a wasteful number, since it uses less digits than its factorization.

13223101333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16674855.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13223101333 its reverse (33310132231), we get a palindrome (46533233564).

The spelling of 13223101333 in words is "thirteen billion, two hundred twenty-three million, one hundred one thousand, three hundred thirty-three".

Divisors: 1 13 61 793 16674781 216772153 1017161641 13223101333