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211030342022000 = 2453598237217117
BaseRepresentation
bin101111111110111001010100…
…100100101011001101110000
31000200012022012101011011020102
4233332321110210223031300
5210130010120024201000
62024454000055531532
762310303413445524
oct5776712444531560
91020168171134212
10211030342022000
11612715135814a6
121b803116689ba8
13909a0ca899ab7
143a17cccbd5d84
15195e5b43d23d5
hexbfee5492b370

211030342022000 has 160 divisors (see below), whose sum is σ = 518985423253440. Its totient is φ = 82970966246400.

The previous prime is 211030342021991. The next prime is 211030342022011. The reversal of 211030342022000 is 220243030112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 971857442 + ... + 972074558.

It is an arithmetic number, because the mean of its divisors is an integer number (3243658895334).

Almost surely, 2211030342022000 is an apocalyptic number.

211030342022000 is a gapful number since it is divisible by the number (20) 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 211030342022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259492711626720).

211030342022000 is an abundant number, since it is smaller than the sum of its proper divisors (307955081231440).

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

211030342022000 is a wasteful number, since it uses less digits than its factorization.

211030342022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225436 (or 225420 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 211030342022000 its reverse (220243030112), we get a palindrome (211250585052112).

The spelling of 211030342022000 in words is "two hundred eleven trillion, thirty billion, three hundred forty-two million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 236 250 295 400 472 500 590 944 1000 1180 1475 2000 2360 2950 4720 5900 7375 8237 11800 14750 16474 23600 29500 32948 41185 59000 65896 82370 118000 131792 164740 205925 217117 329480 411850 434234 485983 658960 823700 868468 971966 1029625 1085585 1647400 1736936 1943932 2059250 2171170 2429915 3294800 3473872 3887864 4118500 4342340 4859830 5427925 7775728 8237000 8684680 9719660 10855850 12149575 12809903 16474000 17369360 19439320 21711700 24299150 25619806 27139625 38878640 43423400 48598300 51239612 54279250 60747875 64049515 86846800 97196600 102479224 108558500 121495750 128099030 194393200 204958448 217117000 242991500 256198060 320247575 434234000 485983000 512396120 640495150 971966000 1024792240 1280990300 1601237875 1788392729 2561980600 3202475750 3576785458 5123961200 6404951500 7153570916 8941963645 12809903000 14307141832 17883927290 25619806000 28614283664 35767854580 44709818225 71535709160 89419636450 105515171011 143071418320 178839272900 211030342022 223549091125 357678545800 422060684044 447098182250 527575855055 715357091600 844121368088 894196364500 1055151710110 1688242736176 1788392729000 2110303420220 2637879275275 3576785458000 4220606840440 5275758550550 8441213680880 10551517101100 13189396376375 21103034202200 26378792752750 42206068404400 52757585505500 105515171011000 211030342022000