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22010200211100 = 22352313792338103
BaseRepresentation
bin1010000000100101001100…
…01010100011111010011100
32212221011011200210202202010
411000102212022203322130
510341103342223223400
6114451202453031220
74431120164625513
oct500224612437234
985834150722663
1022010200211100
11701652323a452
122575883625510
13c38725b6497a
145614296a967a
152828085bd450
hex1404a62a3e9c

22010200211100 has 72 divisors (see below), whose sum is σ = 63684902655360. Its totient is φ = 5869197164480.

The previous prime is 22010200211029. The next prime is 22010200211101. The reversal of 22010200211100 is 111200201022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010200211101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8244649 + ... + 10582751.

It is an arithmetic number, because the mean of its divisors is an integer number (884512536880).

Almost surely, 222010200211100 is an apocalyptic number.

22010200211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010200211100 is an abundant number, since it is smaller than the sum of its proper divisors (41674702444260).

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

22010200211100 is a wasteful number, since it uses less digits than its factorization.

22010200211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369499 (or 2369492 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22010200211100 its reverse (111200201022), we get a palindrome (22121400412122).

The spelling of 22010200211100 in words is "twenty-two trillion, ten billion, two hundred million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 31379 62758 94137 125516 156895 188274 313790 376548 470685 627580 784475 941370 1568950 1882740 2338103 2353425 3137900 4676206 4706850 7014309 9352412 9413700 11690515 14028618 23381030 28057236 35071545 46762060 58452575 70143090 116905150 140286180 175357725 233810300 350715450 701430900 73367334037 146734668074 220102002111 293469336148 366836670185 440204004222 733673340370 880408008444 1100510010555 1467346680740 1834183350925 2201020021110 3668366701850 4402040042220 5502550052775 7336733403700 11005100105550 22010200211100