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21100200220020 = 22354791601458573
BaseRepresentation
bin1001100110000110001011…
…11100000101010101110100
32202201011022020021111121210
410303003011330011111310
510231201202224020040
6112513144223041420
74305303426421155
oct463030574052564
982634266244553
1021100200220020
1167a55a9a41319
12244943a440270
13ba09816c249c
1452d38016392c
15268ce81d6480
hex1330c5f05574

21100200220020 has 96 divisors (see below), whose sum is σ = 59241010590720. Its totient is φ = 5611453849600.

The previous prime is 21100200220009. The next prime is 21100200220159. The reversal of 21100200220020 is 2002200200112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21100200219978 and 21100200220005.

It is a congruent number.

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, 45783454 + ... + 46242026.

It is an arithmetic number, because the mean of its divisors is an integer number (617093860320).

Almost surely, 221100200220020 is an apocalyptic number.

21100200220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100200220020 is an abundant number, since it is smaller than the sum of its proper divisors (38140810370700).

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

21100200220020 is a wasteful number, since it uses less digits than its factorization.

21100200220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460665 (or 460663 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21100200220020 its reverse (2002200200112), we get a palindrome (23102400420132).

The spelling of 21100200220020 in words is "twenty-one trillion, one hundred billion, two hundred million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 479 958 1437 1601 1916 2395 2874 3202 4790 4803 5748 6404 7185 8005 9580 9606 14370 16010 19212 24015 28740 32020 48030 96060 458573 766879 917146 1375719 1533758 1834292 2292865 2300637 2751438 3067516 3834395 4585730 4601274 5502876 6878595 7668790 9171460 9202548 11503185 13757190 15337580 23006370 27514380 46012740 219656467 439312934 658969401 734175373 878625868 1098282335 1317938802 1468350746 2196564670 2202526119 2635877604 2936701492 3294847005 3670876865 4393129340 4405052238 6589694010 7341753730 8810104476 11012630595 13179388020 14683507460 22025261190 44050522380 351670003667 703340007334 1055010011001 1406680014668 1758350018335 2110020022002 3516700036670 4220040044004 5275050055005 7033400073340 10550100110010 21100200220020