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13330323112033 = 1717344910094837
BaseRepresentation
bin1100000111111011010100…
…1011001000000001100001
31202012100220010201020210001
43001332311023020001201
53221401000204041113
644203511011140001
72544040555622344
oct301766513100141
952170803636701
1013330323112033
11427a3a396a964
1215b360a2a4601
13759075aac965
1434129648045b
15181b43ee67dd
hexc1fb52c8061

13330323112033 has 16 divisors (see below), whose sum is σ = 14227664677200. Its totient is φ = 12445882925056.

The previous prime is 13330323111991. The next prime is 13330323112069. The reversal of 13330323112033 is 33021132303331.

It can be written as a sum of positive squares in 8 ways, for example, as 514982770129 + 12815340341904 = 717623^2 + 3579852^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13330323112033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13330323111992 and 13330323112010.

It is not an unprimeable number, because it can be changed into a prime (13330323112133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3726910 + ... + 6367927.

It is an arithmetic number, because the mean of its divisors is an integer number (889229042325).

Almost surely, 213330323112033 is an apocalyptic number.

It is an amenable number.

13330323112033 is a deficient number, since it is larger than the sum of its proper divisors (897341565167).

13330323112033 is a wasteful number, since it uses less digits than its factorization.

13330323112033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10095476.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 13330323112033 its reverse (33021132303331), we get a palindrome (46351455415364).

The spelling of 13330323112033 in words is "thirteen trillion, three hundred thirty billion, three hundred twenty-three million, one hundred twelve thousand, thirty-three".

Divisors: 1 17 173 449 2941 7633 77677 1320509 10094837 171612229 1746406801 4532581813 29688915617 77053890821 784136653649 13330323112033