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13130033220 = 223251918121211
BaseRepresentation
bin11000011101001110…
…00110100001000100
31020220001110210111200
430032213012201010
5203342242030340
610010514102500
7643242304143
oct141647064104
936801423450
1013130033220
11562861a327
12266527aa30
1313132cc635
148c7b3775a
1551ca8a330
hex30e9c6844

13130033220 has 144 divisors (see below), whose sum is σ = 42157577280. Its totient is φ = 3298579200.

The previous prime is 13130033209. The next prime is 13130033327. The reversal of 13130033220 is 2233003131.

13130033220 is a `hidden beast` number, since 1 + 31 + 300 + 332 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13130033193 and 13130033202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 608415 + ... + 629625.

Almost surely, 213130033220 is an apocalyptic number.

13130033220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13130033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21078788640).

13130033220 is an abundant number, since it is smaller than the sum of its proper divisors (29027544060).

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

13130033220 is a wasteful number, since it uses less digits than its factorization.

13130033220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21426 (or 21421 counting only the distinct ones).

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

Adding to 13130033220 its reverse (2233003131), we get a palindrome (15363036351).

The spelling of 13130033220 in words is "thirteen billion, one hundred thirty million, thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 181 190 228 285 342 362 380 543 570 684 724 855 905 1086 1140 1629 1710 1810 2172 2715 3258 3420 3439 3620 5430 6516 6878 8145 10317 10860 13756 16290 17195 20634 21211 30951 32580 34390 41268 42422 51585 61902 63633 68780 84844 103170 106055 123804 127266 154755 190899 206340 212110 254532 309510 318165 381798 403009 424220 619020 636330 763596 806018 954495 1209027 1272660 1612036 1908990 2015045 2418054 3627081 3817980 3839191 4030090 4836108 6045135 7254162 7678382 8060180 11517573 12090270 14508324 15356764 18135405 19195955 23035146 24180540 34552719 36270810 38391910 46070292 57587865 69105438 72541620 72944629 76783820 115175730 138210876 145889258 172763595 218833887 230351460 291778516 345527190 364723145 437667774 656501661 691054380 729446290 875335548 1094169435 1313003322 1458892580 2188338870 2626006644 3282508305 4376677740 6565016610 13130033220