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221200110012200 = 235211110719081881
BaseRepresentation
bin110010010010111000101001…
…111110110100011100101000
31002000012112010222210212120112
4302102320221332310130220
5212443120311130342300
62102241532214113452
764410115635204644
oct6222705176643450
91060175128725515
10221200110012200
1164532492477250
122098609134b888
139657108898397
143c8a1dcc45c24
151a88dc85e1e35
hexc92e29fb4728

221200110012200 has 96 divisors (see below), whose sum is σ = 561094654072320. Its totient is φ = 80429129280000.

The previous prime is 221200110012181. The next prime is 221200110012251. The reversal of 221200110012200 is 2210011002122.

221200110012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19815260 + ... + 28897140.

It is an arithmetic number, because the mean of its divisors is an integer number (5844735979920).

Almost surely, 2221200110012200 is an apocalyptic number.

221200110012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221200110012200 is an abundant number, since it is smaller than the sum of its proper divisors (339894544060120).

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

221200110012200 is a wasteful number, since it uses less digits than its factorization.

221200110012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9092979 (or 9092970 counting only the distinct ones).

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

Adding to 221200110012200 its reverse (2210011002122), we get a palindrome (223410121014322).

The spelling of 221200110012200 in words is "two hundred twenty-one trillion, two hundred billion, one hundred ten million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 11071 22142 44284 55355 88568 110710 121781 221420 243562 276775 442840 487124 553550 608905 974248 1107100 1217810 2214200 2435620 3044525 4871240 6089050 9081881 12178100 18163762 24356200 36327524 45409405 72655048 90818810 99900691 181637620 199801382 227047025 363275240 399602764 454094050 499503455 799205528 908188100 999006910 1816376200 1998013820 2497517275 3996027640 4995034550 9990069100 19980138200 100545504551 201091009102 402182018204 502727522755 804364036408 1005455045510 1106000550061 2010910091020 2212001100122 2513637613775 4021820182040 4424002200244 5027275227550 5530002750305 8848004400488 10054550455100 11060005500610 20109100910200 22120011001220 27650013751525 44240022002440 55300027503050 110600055006100 221200110012200