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21211200010220 = 22511175996126167
BaseRepresentation
bin1001101001010100111100…
…00010101011011111101100
32210002202210222222002022112
410310222132002223133230
510240011014200311340
6113040142445503152
74316313211156643
oct464523602533754
983082728862275
1021211200010220
11683868a481620
122466a57b71ab8
13bab291084c0c
145348b003c35a
1526bb42e6d065
hex134a9e0ab7ec

21211200010220 has 96 divisors (see below), whose sum is σ = 52323395765760. Its totient is φ = 7136406563840.

The previous prime is 21211200010213. The next prime is 21211200010229. The reversal of 21211200010220 is 2201000211212.

It is a junction number, because it is equal to n+sod(n) for n = 21211200010195 and 21211200010204.

It is not an unprimeable number, because it can be changed into a prime (21211200010229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47842424 + ... + 48283743.

It is an arithmetic number, because the mean of its divisors is an integer number (545035372560).

Almost surely, 221211200010220 is an apocalyptic number.

21211200010220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211200010220 is an abundant number, since it is smaller than the sum of its proper divisors (31112195755540).

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

21211200010220 is a wasteful number, since it uses less digits than its factorization.

21211200010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96126263 (or 96126261 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21211200010220 its reverse (2201000211212), we get a palindrome (23412200221432).

The spelling of 21211200010220 in words is "twenty-one trillion, two hundred eleven billion, two hundred million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 59 68 85 110 118 170 187 220 236 295 340 374 590 649 748 935 1003 1180 1298 1870 2006 2596 3245 3740 4012 5015 6490 10030 11033 12980 20060 22066 44132 55165 110330 220660 96126167 192252334 384504668 480630835 961261670 1057387837 1634144839 1922523340 2114775674 3268289678 4229551348 5286939185 5671443853 6536579356 8170724195 10573878370 11342887706 16341448390 17975593229 21147756740 22685775412 28357219265 32682896780 35951186458 56714438530 62385882383 71902372916 89877966145 96414545501 113428877060 124771764766 179755932290 192829091002 249543529532 311929411915 359511864580 385658182004 482072727505 623858823830 964145455010 1060560000511 1247717647660 1928290910020 2121120001022 4242240002044 5302800002555 10605600005110 21211200010220