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221122220110100 = 225265912372712547
BaseRepresentation
bin110010010001110000000111…
…011000011011000100010100
31001222221002002201012212201122
4302101300013120123010110
5212440331301322010400
62102142051235143112
764401360515025161
oct6221600730330424
91058832081185648
10221122220110100
1164502452675a31
1220972b74144a98
13964c97497870a
143c86530425068
151a86d6a4d2685
hexc91c0761b114

221122220110100 has 72 divisors (see below), whose sum is σ = 480952012205280. Its totient is φ = 88243244449920.

The previous prime is 221122220110087. The next prime is 221122220110151. The reversal of 221122220110100 is 1011022221122.

It is a super-2 number, since 2×2211222201101002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 80162027 + ... + 82874573.

Almost surely, 2221122220110100 is an apocalyptic number.

221122220110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221122220110100 is an abundant number, since it is smaller than the sum of its proper divisors (259829792095180).

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

221122220110100 is a wasteful number, since it uses less digits than its factorization.

221122220110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714457 (or 2714450 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221122220110100 its reverse (1011022221122), we get a palindrome (222133242331222).

The spelling of 221122220110100 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, two hundred twenty million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 659 1237 1318 2474 2636 3295 4948 6185 6590 12370 13180 16475 24740 30925 32950 61850 65900 123700 815183 1630366 2712547 3260732 4075915 5425094 8151830 10850188 13562735 16303660 20379575 27125470 40759150 54250940 67813675 81518300 135627350 271254700 1787568473 3355420639 3575136946 6710841278 7150273892 8937842365 13421682556 16777103195 17875684730 33554206390 35751369460 44689211825 67108412780 83885515975 89378423650 167771031950 178756847300 335542063900 2211222201101 4422444402202 8844888804404 11056111005505 22112222011010 44224444022020 55280555027525 110561110055050 221122220110100