Search a number
-
+
13330222303333 = 1314920369337861
BaseRepresentation
bin1100000111111010111100…
…1010100100100001100101
31202012100122010000122020111
43001332233022210201211
53221400243402201313
644203453010333021
72544035223021415
oct301765712444145
952170563018214
1013330222303333
11427a351a76891
1215b35a058a171
1375905ac45040
14341286d1c645
15181b3a23243d
hexc1faf2a4865

13330222303333 has 16 divisors (see below), whose sum is σ = 14452722774000. Its totient is φ = 12221601684480.

The previous prime is 13330222303243. The next prime is 13330222303357. The reversal of 13330222303333 is 33330322203331.

13330222303333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4850204573124 + 8480017730209 = 2202318^2 + 2912047^2 .

It is a cyclic number.

It is not a de Polignac number, because 13330222303333 - 221 = 13330220206181 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13330222303295 and 13330222303304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330222303633) 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, 39285823 + ... + 39623683.

It is an arithmetic number, because the mean of its divisors is an integer number (903295173375).

Almost surely, 213330222303333 is an apocalyptic number.

13330222303333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13330222303333 is a deficient number, since it is larger than the sum of its proper divisors (1122500470667).

13330222303333 is a wasteful number, since it uses less digits than its factorization.

13330222303333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358392.

The product of its (nonzero) digits is 52488, while the sum is 31.

Adding to 13330222303333 its reverse (33330322203331), we get a palindrome (46660544506664).

The spelling of 13330222303333 in words is "thirteen trillion, three hundred thirty billion, two hundred twenty-two million, three hundred three thousand, three hundred thirty-three".

Divisors: 1 13 149 1937 20369 264797 337861 3034981 4392193 39454753 50341289 654436757 6881890709 89464579217 1025401715641 13330222303333