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13020132330 = 23252311355663
BaseRepresentation
bin11000010000000111…
…10111001111101010
31020121101200020211100
430020003313033222
5203131123213310
65551550342230
7640436204322
oct141003671752
936541606740
1013020132330
115581586147
1226344ba976
1312c660041a
148b72ca282
155130cbec0
hex3080f73ea

13020132330 has 96 divisors (see below), whose sum is σ = 35637428736. Its totient is φ = 3291628032.

The previous prime is 13020132283. The next prime is 13020132341. The reversal of 13020132330 is 3323102031.

13020132330 is a `hidden beast` number, since 1 + 302 + 0 + 1 + 32 + 330 = 666.

13020132330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130201323302 (a number of 21 digits) contains 22 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206079 + ... + 261741.

It is an arithmetic number, because the mean of its divisors is an integer number (371223216).

Almost surely, 213020132330 is an apocalyptic number.

13020132330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13020132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17818714368).

13020132330 is an abundant number, since it is smaller than the sum of its proper divisors (22617296406).

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

13020132330 is a wasteful number, since it uses less digits than its factorization.

13020132330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55812 (or 55809 counting only the distinct ones).

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

Adding to 13020132330 its reverse (3323102031), we get a palindrome (16343234361).

The spelling of 13020132330 in words is "thirteen billion, twenty million, one hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 113 115 138 207 226 230 339 345 414 565 678 690 1017 1035 1130 1695 2034 2070 2599 3390 5085 5198 7797 10170 12995 15594 23391 25990 38985 46782 55663 77970 111326 116955 166989 233910 278315 333978 500967 556630 834945 1001934 1280249 1669890 2504835 2560498 3840747 5009670 6289919 6401245 7681494 11522241 12579838 12802490 18869757 19203735 23044482 31449595 37739514 38407470 56609271 57611205 62899190 94348785 113218542 115222410 144668137 188697570 283046355 289336274 434004411 566092710 723340685 868008822 1302013233 1446681370 2170022055 2604026466 4340044110 6510066165 13020132330