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20013013001220 = 22354731672240863
BaseRepresentation
bin1001000110011101001001…
…00001111110010000000100
32121212020002021201110102220
410203032210201332100010
510110343122312014340
6110321503511532340
74133615055505641
oct443164441762004
977766067643386
1020013013001220
1164165201124a8
1222b27a568a0b0
13b222b0288365
144d28c660cdc8
1524a8b7504ed0
hex1233a487e404

20013013001220 has 96 divisors (see below), whose sum is σ = 57246796873728. Its totient is φ = 5221602851712.

The previous prime is 20013013001209. The next prime is 20013013001237. The reversal of 20013013001220 is 2210031031002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20013013001220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7810509 + ... + 10051371.

It is an arithmetic number, because the mean of its divisors is an integer number (596320800768).

Almost surely, 220013013001220 is an apocalyptic number.

20013013001220 is a gapful number since it is divisible by the number (20) 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 20013013001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28623398436864).

20013013001220 is an abundant number, since it is smaller than the sum of its proper divisors (37233783872508).

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

20013013001220 is a wasteful number, since it uses less digits than its factorization.

20013013001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244089 (or 2244087 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20013013001220 its reverse (2210031031002), we get a palindrome (22223044032222).

The spelling of 20013013001220 in words is "twenty trillion, thirteen billion, thirteen million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 3167 6334 9501 12668 15835 19002 31670 38004 47505 63340 95010 148849 190020 297698 446547 595396 744245 893094 1488490 1786188 2232735 2240863 2976980 4465470 4481726 6722589 8930940 8963452 11204315 13445178 22408630 26890356 33612945 44817260 67225890 105320561 134451780 210641122 315961683 421282244 526602805 631923366 1053205610 1263846732 1579808415 2106411220 3159616830 6319233660 7096813121 14193626242 21290439363 28387252484 35484065605 42580878726 70968131210 85161757452 106452196815 141936262420 212904393630 333550216687 425808787260 667100433374 1000650650061 1334200866748 1667751083435 2001301300122 3335502166870 4002602600244 5003253250305 6671004333740 10006506500610 20013013001220