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11100122000 = 2453112321937
BaseRepresentation
bin10100101011001111…
…00110101110010000
31001122120211121210122
422111213212232100
5140213112401000
65033242045412
7542033323502
oct122547465620
931576747718
1011100122000
114786802a50
1221994a9868
13107b8b1836
147742d3d72
1544e76a085
hex2959e6b90

11100122000 has 160 divisors (see below), whose sum is σ = 30554544384. Its totient is φ = 3860736000.

The previous prime is 11100121997. The next prime is 11100122017. The reversal of 11100122000 is 22100111.

11100122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495032 + ... + 516968.

Almost surely, 211100122000 is an apocalyptic number.

11100122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15277272192).

11100122000 is an abundant number, since it is smaller than the sum of its proper divisors (19454422384).

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

11100122000 is a wasteful number, since it uses less digits than its factorization.

11100122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21994 (or 21978 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11100122000 its reverse (22100111), we get a palindrome (11122222111).

The spelling of 11100122000 in words is "eleven billion, one hundred million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 40 44 46 50 55 80 88 92 100 110 115 125 176 184 200 220 230 250 253 275 368 400 440 460 500 506 550 575 880 920 1000 1012 1100 1150 1265 1375 1840 2000 2024 2200 2300 2530 2750 2875 4048 4400 4600 5060 5500 5750 6325 9200 10120 11000 11500 12650 20240 21937 22000 23000 25300 31625 43874 46000 50600 63250 87748 101200 109685 126500 175496 219370 241307 253000 350992 438740 482614 504551 506000 548425 877480 965228 1009102 1096850 1206535 1754960 1930456 2018204 2193700 2413070 2522755 2742125 3860912 4036408 4387400 4826140 5045510 5484250 5550061 6032675 8072816 8774800 9652280 10091020 10968500 11100122 12065350 12613775 19304560 20182040 21937000 22200244 24130700 25227550 27750305 30163375 40364080 43874000 44400488 48261400 50455100 55500610 60326750 63068875 88800976 96522800 100910200 111001220 120653500 126137750 138751525 201820400 222002440 241307000 252275500 277503050 444004880 482614000 504551000 555006100 693757625 1009102000 1110012200 1387515250 2220024400 2775030500 5550061000 11100122000