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11100211000 = 235371791979
BaseRepresentation
bin10100101011001111…
…11100011100111000
31001122121000010212221
422111213330130320
5140213123223000
65033244013424
7542034144124
oct122547743470
931577003787
1011100211000
1147868638aa
122199531274
13107b9131b8
14774318584
1544e78661a
hex2959fc738

11100211000 has 128 divisors (see below), whose sum is σ = 26687232000. Its totient is φ = 4319952000.

The previous prime is 11100210983. The next prime is 11100211009. The reversal of 11100211000 is 11200111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100211009) 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 31 ways as a sum of consecutive naturals, for example, 5608011 + ... + 5609989.

It is an arithmetic number, because the mean of its divisors is an integer number (208494000).

Almost surely, 211100211000 is an apocalyptic number.

11100211000 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 11100211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13343616000).

11100211000 is an abundant number, since it is smaller than the sum of its proper divisors (15587021000).

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

11100211000 is a wasteful number, since it uses less digits than its factorization.

11100211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 11100211000 its reverse (11200111), we get a palindrome (11111411111).

The spelling of 11100211000 in words is "eleven billion, one hundred million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 79 100 125 142 158 200 250 284 316 355 395 500 568 632 710 790 1000 1420 1580 1775 1975 1979 2840 3160 3550 3950 3958 5609 7100 7900 7916 8875 9875 9895 11218 14200 15800 15832 17750 19750 19790 22436 28045 35500 39500 39580 44872 49475 56090 71000 79000 79160 98950 112180 140225 140509 156341 197900 224360 247375 280450 281018 312682 395800 494750 560900 562036 625364 701125 702545 781705 989500 1121800 1124072 1250728 1402250 1405090 1563410 1979000 2804500 2810180 3126820 3512725 3908525 5609000 5620360 6253640 7025450 7817050 11100211 14050900 15634100 17563625 19542625 22200422 28101800 31268200 35127250 39085250 44400844 55501055 70254500 78170500 88801688 111002110 140509000 156341000 222004220 277505275 444008440 555010550 1110021100 1387526375 2220042200 2775052750 5550105500 11100211000