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13330221003 = 3311191234989
BaseRepresentation
bin11000110101000101…
…10000011111001011
31021102000011101112000
430122202300133023
5204300014033003
610042424522043
7651223003041
oct143242603713
937360141460
1013330221003
115720620380
122700320323
131345921248
14906568391
155304301a3
hex31a8b07cb

13330221003 has 32 divisors (see below), whose sum is σ = 21656678400. Its totient is φ = 8036589600.

The previous prime is 13330220989. The next prime is 13330221007. The reversal of 13330221003 is 30012203331.

13330221003 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 13330221003 - 216 = 13330155467 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13330221007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60768 + ... + 174221.

It is an arithmetic number, because the mean of its divisors is an integer number (676771200).

Almost surely, 213330221003 is an apocalyptic number.

13330221003 is a deficient number, since it is larger than the sum of its proper divisors (8326457397).

13330221003 is a wasteful number, since it uses less digits than its factorization.

13330221003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235200 (or 235194 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13330221003 its reverse (30012203331), we get a palindrome (43342424334).

It can be divided in two parts, 1333022 and 1003, that added together give a square (1334025 = 11552).

The spelling of 13330221003 in words is "thirteen billion, three hundred thirty million, two hundred twenty-one thousand, three".

Divisors: 1 3 9 11 27 33 99 191 297 573 1719 2101 5157 6303 18909 56727 234989 704967 2114901 2584879 6344703 7754637 23263911 44882899 69791733 134648697 403946091 493711889 1211838273 1481135667 4443407001 13330221003