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13221103320 = 23325172160311
BaseRepresentation
bin11000101000000101…
…00000011011011000
31021010101211122012100
430110002200123120
5204034100301240
610023530043400
7645426344505
oct142402403330
937111748170
1013221103320
115674a71677
12268b879560
131329137679
148d5c824ac
15525a78e30
hex3140a06d8

13221103320 has 96 divisors (see below), whose sum is σ = 45496170720. Its totient is φ = 3318236160.

The previous prime is 13221103307. The next prime is 13221103349. The reversal of 13221103320 is 2330112231.

13221103320 is a `hidden beast` number, since 1 + 322 + 1 + 10 + 332 + 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 = 13221103293 and 13221103302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1074036 + ... + 1086275.

It is an arithmetic number, because the mean of its divisors is an integer number (473918445).

Almost surely, 213221103320 is an apocalyptic number.

13221103320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13221103320 is an abundant number, since it is smaller than the sum of its proper divisors (32275067400).

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

13221103320 is a wasteful number, since it uses less digits than its factorization.

13221103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160345 (or 2160338 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13221103320 its reverse (2330112231), we get a palindrome (15551215551).

The spelling of 13221103320 in words is "thirteen billion, two hundred twenty-one million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 2160311 4320622 6480933 8641244 10801555 12961866 17282488 19442799 21603110 25923732 32404665 36725287 38885598 43206220 51847464 64809330 73450574 77771196 86412440 97213995 110175861 129618660 146901148 155542392 183626435 194427990 220351722 259237320 293802296 330527583 367252870 388855980 440703444 550879305 661055166 734505740 777711960 881406888 1101758610 1322110332 1469011480 1652637915 2203517220 2644220664 3305275830 4407034440 6610551660 13221103320