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211442220423320 = 235172948012233331
BaseRepresentation
bin110000000100111000111010…
…011100000101100010011000
31000201122200022220000211112212
4300010320322130011202120
5210203232131412021240
62025411114243254252
762352124222213265
oct6004707234054230
91021580286024485
10211442220423320
1161410162161597
121b86ab0397a388
1390c9bba106173
143a2dc027a226c
15196a16da2c165
hexc04e3a705898

211442220423320 has 128 divisors (see below), whose sum is σ = 521208768830400. Its totient is φ = 76840845312000.

The previous prime is 211442220423307. The next prime is 211442220423373. The reversal of 211442220423320 is 23324022244112.

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 31 ways as a sum of consecutive naturals, for example, 93559055 + ... + 95792385.

Almost surely, 2211442220423320 is an apocalyptic number.

211442220423320 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 211442220423320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260604384415200).

211442220423320 is an abundant number, since it is smaller than the sum of its proper divisors (309766548407080).

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

211442220423320 is a wasteful number, since it uses less digits than its factorization.

211442220423320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238189 (or 2238185 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 211442220423320 its reverse (23324022244112), we get a palindrome (234766242667432).

The spelling of 211442220423320 in words is "two hundred eleven trillion, four hundred forty-two billion, two hundred twenty million, four hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 493 580 680 986 1160 1972 2465 3944 4801 4930 9602 9860 19204 19720 24005 38408 48010 81617 96020 139229 163234 192040 278458 326468 408085 556916 652936 696145 816170 1113832 1392290 1632340 2233331 2366893 2784580 3264680 4466662 4733786 5569160 8933324 9467572 11166655 11834465 17866648 18935144 22333310 23668930 37966627 44666620 47337860 64766599 75933254 89333240 94675720 129533198 151866508 189833135 259066396 303733016 323832995 379666270 518132792 647665990 759332540 1101032183 1295331980 1518665080 2202064366 2590663960 4404128732 5505160915 8808257464 10722222131 11010321830 21444444262 22020643660 42888888524 44041287320 53611110655 85777777048 107222221310 182277776227 214444442620 310944441799 364555552454 428888885240 621888883598 729111104908 911388881135 1243777767196 1458222209816 1554722208995 1822777762270 2487555534392 3109444417990 3645555524540 5286055510583 6218888835980 7291111049080 10572111021166 12437777671960 21144222042332 26430277552915 42288444084664 52860555105830 105721110211660 211442220423320