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21001110020 = 225111922311497
BaseRepresentation
bin10011100011110000…
…111000001000000100
32000012121021221000122
4103203300320020010
5321002241010040
613351530401112
71342266330002
oct234360701004
960177257018
1021001110020
1189a7640880
1240a1290198
131c98c13127
141033241a72
1582dabb1b5
hex4e3c38204

21001110020 has 144 divisors (see below), whose sum is σ = 52989406848. Its totient is φ = 6919672320.

The previous prime is 21001109999. The next prime is 21001110103. The reversal of 21001110020 is 2001110012.

It is an unprimeable number.

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, 1820912 + ... + 1832408.

It is an arithmetic number, because the mean of its divisors is an integer number (367981992).

Almost surely, 221001110020 is an apocalyptic number.

21001110020 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 21001110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26494703424).

21001110020 is an abundant number, since it is smaller than the sum of its proper divisors (31988296828).

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

21001110020 is a wasteful number, since it uses less digits than its factorization.

21001110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11578 (or 11557 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21001110020 its reverse (2001110012), we get a palindrome (23002220032).

The spelling of 21001110020 in words is "twenty-one billion, one million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 23 38 44 46 55 76 92 95 110 115 190 209 220 230 253 361 380 418 437 460 506 722 836 874 1012 1045 1265 1444 1748 1805 2090 2185 2530 3610 3971 4180 4370 4807 5060 7220 7942 8303 8740 9614 11497 15884 16606 19228 19855 22994 24035 33212 39710 41515 45988 48070 57485 79420 83030 91333 96140 114970 126467 166060 182666 218443 229940 252934 264431 365332 436886 456665 505868 528862 632335 873772 913330 1057724 1092215 1264670 1322155 1826660 2184430 2402873 2529340 2644310 2908741 4150417 4368860 4805746 5024189 5288620 5817482 8300834 9611492 10048378 11634964 12014365 14543705 16601668 20096756 20752085 24028730 25120945 29087410 41504170 45654587 48057460 50241890 55266079 58174820 83008340 91309174 95459591 100483780 110532158 182618348 190919182 221064316 228272935 276330395 381838364 456545870 477297955 552660790 913091740 954595910 1050055501 1105321580 1909191820 2100111002 4200222004 5250277505 10500555010 21001110020