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20201310220 = 22571326113997
BaseRepresentation
bin10010110100000101…
…111000100000001100
31221010212022212221211
4102310011320200030
5312333013411340
613140320104204
71313415206110
oct226405704014
957125285854
1020201310220
118627127403
123ab9465064
131b9c300400
14d98d29740
157d37835ea
hex4b417880c

20201310220 has 144 divisors (see below), whose sum is σ = 53363959488. Its totient is φ = 6288122880.

The previous prime is 20201310191. The next prime is 20201310223. The reversal of 20201310220 is 2201310202.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 20201310220.

It is not an unprimeable number, because it can be changed into a prime (20201310223) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1436262 + ... + 1450258.

It is an arithmetic number, because the mean of its divisors is an integer number (370583052).

Almost surely, 220201310220 is an apocalyptic number.

20201310220 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 20201310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26681979744).

20201310220 is an abundant number, since it is smaller than the sum of its proper divisors (33162649268).

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

20201310220 is a wasteful number, since it uses less digits than its factorization.

20201310220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14100 (or 14085 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 20201310220 its reverse (2201310202), we get a palindrome (22402620422).

The spelling of 20201310220 in words is "twenty billion, two hundred one million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 61 65 70 91 122 130 140 169 182 244 260 305 338 364 427 455 610 676 793 845 854 910 1183 1220 1586 1690 1708 1820 2135 2366 3172 3380 3965 4270 4732 5551 5915 7930 8540 10309 11102 11830 13997 15860 20618 22204 23660 27755 27994 41236 51545 55510 55988 69985 72163 97979 103090 111020 139970 144326 181961 195958 206180 279940 288652 360815 363922 391916 489895 721630 727844 853817 909805 979790 1273727 1443260 1707634 1819610 1959580 2365493 2547454 3415268 3639220 4269085 4730986 5094908 5976719 6368635 8538170 9461972 11099621 11827465 11953438 12737270 16558451 17076340 22199242 23654930 23906876 25474540 29883595 33116902 44398484 47309860 55498105 59767190 66233804 77697347 82792255 110996210 119534380 144295073 155394694 165584510 221992420 288590146 310789388 331169020 388486735 577180292 721475365 776973470 1010065511 1442950730 1553946940 2020131022 2885901460 4040262044 5050327555 10100655110 20201310220