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20201000201120 = 2552772539179519
BaseRepresentation
bin1001001011111011010010…
…11100001110101110100000
32122112012022102210200011002
410211331221130032232200
510121433122022413440
6110544113354011132
74153321421365064
oct445755134165640
978465272720132
1020201000201120
116489217a7a132
12232310a116aa8
13b36c3b8b079b
144dba3b0ddaa4
1525071b02b115
hex125f6970eba0

20201000201120 has 96 divisors (see below), whose sum is σ = 47916286387200. Its totient is φ = 8048013106176.

The previous prime is 20201000201117. The next prime is 20201000201131. The reversal of 20201000201120 is 2110200010202.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112438721 + ... + 112618239.

It is an arithmetic number, because the mean of its divisors is an integer number (499127983200).

Almost surely, 220201000201120 is an apocalyptic number.

20201000201120 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 20201000201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23958143193600).

20201000201120 is an abundant number, since it is smaller than the sum of its proper divisors (27715286186080).

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

20201000201120 is a wasteful number, since it uses less digits than its factorization.

20201000201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182350 (or 182342 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20201000201120 its reverse (2110200010202), we get a palindrome (22311200211322).

The spelling of 20201000201120 in words is "twenty trillion, two hundred one billion, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 277 554 1108 1385 2216 2539 2770 4432 5078 5540 8864 10156 11080 12695 20312 22160 25390 40624 44320 50780 81248 101560 179519 203120 359038 406240 703303 718076 897595 1406606 1436152 1795190 2813212 2872304 3516515 3590380 5626424 5744608 7033030 7180760 11252848 14066060 14361520 22505696 28132120 28723040 49726763 56264240 99453526 112528480 198907052 248633815 397814104 455798741 497267630 795628208 911597482 994535260 1591256416 1823194964 1989070520 2278993705 3646389928 3978141040 4557987410 7292779856 7956282080 9115974820 14585559712 18231949640 36463899280 72927798560 126256251257 252512502514 505025005028 631281256285 1010050010056 1262562512570 2020100020112 2525125025140 4040200040224 5050250050280 10100500100560 20201000201120