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13301301330 = 2335172897887
BaseRepresentation
bin11000110001101000…
…11100000001010010
31021022222202010012000
430120310130001102
5204220113120310
610035513014430
7650422124112
oct143064340122
937288663160
1013301301330
115706268619
1226b26b4416
13133c936c05
1490279b042
1552cb1b4c0
hex318d1c052

13301301330 has 64 divisors (see below), whose sum is σ = 37556628480. Its totient is φ = 3338364672.

The previous prime is 13301301301. The next prime is 13301301341. The reversal of 13301301330 is 3310310331.

13301301330 is a `hidden beast` number, since 1 + 3 + 30 + 1 + 301 + 330 = 666.

It is a super-3 number, since 3×133013013303 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1444354 + ... + 1453533.

It is an arithmetic number, because the mean of its divisors is an integer number (586822320).

Almost surely, 213301301330 is an apocalyptic number.

13301301330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13301301330 is an abundant number, since it is smaller than the sum of its proper divisors (24255327150).

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

13301301330 is a wasteful number, since it uses less digits than its factorization.

13301301330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897920 (or 2897914 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13301301330 its reverse (3310310331), we get a palindrome (16611611661).

Subtracting from 13301301330 its reverse (3310310331), we obtain a palindrome (9990990999).

The spelling of 13301301330 in words is "thirteen billion, three hundred one million, three hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 2897887 5795774 8693661 14489435 17387322 26080983 28978870 43468305 49264079 52161966 78242949 86936610 98528158 130404915 147792237 156485898 246320395 260809830 295584474 391214745 443376711 492640790 738961185 782429490 886753422 1330130133 1477922370 2216883555 2660260266 4433767110 6650650665 13301301330