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13201000330 = 257279397859
BaseRepresentation
bin11000100101101011…
…10100011110001010
31021002000000022002011
430102311310132022
5204013424002310
610021531130134
7645063436300
oct142265643612
937060008064
1013201000330
115664690a31
122684ba394a
131324c193cb
148d332c270
15523e0778a
hex312d7478a

13201000330 has 96 divisors (see below), whose sum is σ = 28094342400. Its totient is φ = 4452319872.

The previous prime is 13201000321. The next prime is 13201000343. The reversal of 13201000330 is 3300010231.

13201000330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13201000330.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15367441 + ... + 15368299.

It is an arithmetic number, because the mean of its divisors is an integer number (292649400).

Almost surely, 213201000330 is an apocalyptic number.

13201000330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13201000330 is an abundant number, since it is smaller than the sum of its proper divisors (14893342070).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13201000330 is a wasteful number, since it uses less digits than its factorization.

13201000330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 13201000330 its reverse (3300010231), we get a palindrome (16501010561).

Subtracting from 13201000330 its reverse (3300010231), we obtain a palindrome (9900990099).

The spelling of 13201000330 in words is "thirteen billion, two hundred one million, three hundred thirty", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 35 49 70 79 98 158 245 395 397 490 553 790 794 859 1106 1718 1985 2765 2779 3871 3970 4295 5530 5558 6013 7742 8590 12026 13895 19355 19453 27790 30065 31363 38710 38906 42091 60130 62726 67861 84182 97265 135722 156815 194530 210455 219541 313630 339305 341023 420910 439082 475027 678610 682046 950054 1097705 1536787 1705115 2195410 2375135 2387161 3073574 3325189 3410230 4750270 4774322 6650378 7683935 11935805 15367870 16625945 16710127 23871610 26940817 33251890 33420254 53881634 83550635 134704085 167101270 188585719 269408170 377171438 942928595 1320100033 1885857190 2640200066 6600500165 13201000330