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221100200212100 = 2252112961113623619
BaseRepresentation
bin110010010001011011100110…
…111001001011011010000100
31001222211222021002220011022212
4302101123212321023122010
5212440001202223241400
62102124010232242552
764366651035003626
oct6221334671133204
91058758232804285
10221100200212100
11644a4082a49720
122096a849840458
13964a87597a881
143c85441b84c16
151a864cc273335
hexc916e6e4b684

221100200212100 has 144 divisors (see below), whose sum is σ = 550329186052800. Its totient is φ = 76355071296000.

The previous prime is 221100200212097. The next prime is 221100200212109. The reversal of 221100200212100 is 1212002001122.

It is not an unprimeable number, because it can be changed into a prime (221100200212109) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 54865910 + ... + 58757709.

It is an arithmetic number, because the mean of its divisors is an integer number (3821730458700).

Almost surely, 2221100200212100 is an apocalyptic number.

221100200212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221100200212100 is an abundant number, since it is smaller than the sum of its proper divisors (329228985840700).

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

221100200212100 is a wasteful number, since it uses less digits than its factorization.

221100200212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113623734 (or 113623727 counting only the distinct ones).

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

Adding to 221100200212100 its reverse (1212002001122), we get a palindrome (222312202213222).

The spelling of 221100200212100 in words is "two hundred twenty-one trillion, one hundred billion, two hundred million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 61 100 110 116 122 145 220 244 275 290 305 319 550 580 610 638 671 725 1100 1220 1276 1342 1450 1525 1595 1769 2684 2900 3050 3190 3355 3538 6100 6380 6710 7076 7975 8845 13420 15950 16775 17690 19459 31900 33550 35380 38918 44225 67100 77836 88450 97295 176900 194590 389180 486475 972950 1945900 113623619 227247238 454494476 568118095 1136236190 1249859809 2272472380 2499719618 2840590475 3295084951 4999439236 5681180950 6249299045 6590169902 6931040759 11362361900 12498598090 13180339804 13862081518 16475424755 24997196180 27724163036 31246495225 32950849510 34655203795 36245934461 62492990450 65901699020 69310407590 72491868922 76241448349 82377123775 124985980900 138620815180 144983737844 152482896698 164754247550 173276018975 181229672305 201000182011 304965793396 329508495100 346552037950 362459344610 381207241745 402000364022 693104075900 724918689220 762414483490 804000728044 906148361525 1005000910055 1524828966980 1812296723050 1906036208725 2010001820110 2211002002121 3624593446100 3812072417450 4020003640220 4422004004242 5025004550275 7624144834900 8844008008484 10050009100550 11055010010605 20100018201100 22110020021210 44220040042420 55275050053025 110550100106050 221100200212100