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13211303311233 = 328390411956179
BaseRepresentation
bin1100000000111111111100…
…0010100111011110000001
31201202222200102221220210200
43000033333002213132001
53212423222121424413
644033104451515413
72532325261201506
oct300177702473601
951688612856720
1013211303311233
114233978334a25
1215945328b8b69
1374aa889bbc21
143396053ad4ad
1517d9ca110573
hexc03ff0a7781

13211303311233 has 24 divisors (see below), whose sum is σ = 19315055279520. Its totient is φ = 8700453767040.

The previous prime is 13211303311187. The next prime is 13211303311247. The reversal of 13211303311233 is 33211330311231.

13211303311233 is a `hidden beast` number, since 1 + 3 + 2 + 11 + 303 + 311 + 2 + 33 = 666.

13211303311233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13211303311233 - 26 = 13211303311169 is a prime.

It is a super-3 number, since 3×132113033112333 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13211303311197 and 13211303311206.

It is not an unprimeable number, because it can be changed into a prime (13211303301233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5775538 + ... + 7731716.

It is an arithmetic number, because the mean of its divisors is an integer number (804793969980).

Almost surely, 213211303311233 is an apocalyptic number.

It is an amenable number.

13211303311233 is a deficient number, since it is larger than the sum of its proper divisors (6103751968287).

13211303311233 is a wasteful number, since it uses less digits than its factorization.

13211303311233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965309 (or 1965306 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13211303311233 its reverse (33211330311231), we get a palindrome (46422633622464).

The spelling of 13211303311233 in words is "thirteen trillion, two hundred eleven billion, three hundred three million, three hundred eleven thousand, two hundred thirty-three".

Divisors: 1 3 9 83 249 747 9041 27123 81369 750403 1956179 2251209 5868537 6753627 17605611 162362857 487088571 1461265713 17685814339 53057443017 159172329051 1467922590137 4403767770411 13211303311233