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221121100110020 = 225114766977319289
BaseRepresentation
bin110010010001101111000100…
…100111111101100011000100
31001222220222012122201222110012
4302101233010213331203010
5212440322003112010040
62102141344145445352
764401320665132625
oct6221570447754304
91058828178658405
10221121100110020
1164501a28440330
1220972901040858
13964c826914586
143c8646579ba4c
151a86d01eea865
hexc91bc49fd8c4

221121100110020 has 96 divisors (see below), whose sum is σ = 517355732759040. Its totient is φ = 78695449763840.

The previous prime is 221121100109999. The next prime is 221121100110109. The reversal of 221121100110020 is 20011001121122.

221121100110020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2211211001100202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221121100109977 and 221121100110004.

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, 692382536 + ... + 692701824.

It is an arithmetic number, because the mean of its divisors is an integer number (5389122216240).

Almost surely, 2221121100110020 is an apocalyptic number.

221121100110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221121100110020 is an abundant number, since it is smaller than the sum of its proper divisors (296234632649020).

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

221121100110020 is a wasteful number, since it uses less digits than its factorization.

221121100110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386333 (or 386331 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221121100110020 its reverse (20011001121122), we get a palindrome (241132101231142).

The spelling of 221121100110020 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, one hundred million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 5170 10340 66977 133954 267908 319289 334885 638578 669770 736747 1277156 1339540 1473494 1596445 2946988 3147919 3192890 3512179 3683735 6295838 6385780 7024358 7367470 12591676 14048716 14734940 15006583 15739595 17560895 30013166 31479190 34627109 35121790 60026332 62958380 69254218 70243580 75032915 138508436 150065830 165072413 173135545 300131660 330144826 346271090 660289652 692542180 825362065 1650724130 3301448260 21385019353 42770038706 85540077412 106925096765 213850193530 235235212883 427700387060 470470425766 940940851532 1005095909591 1176176064415 2010191819182 2352352128830 4020383638364 4704704257660 5025479547955 10050959095910 11056055005501 20101918191820 22112110011002 44224220022004 55280275027505 110560550055010 221121100110020