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201110220220112 = 24743791035131961
BaseRepresentation
bin101101101110100010011111…
…001111001010011011010000
3222101001221122000211210121222
4231232202133033022123100
5202324442212334020422
61551420432033504212
760234506510425250
oct5556423717123320
9871057560753558
10201110220220112
1159097402421a45
121a680611a12068
13882a7c656b278
143793b025b7960
15183b511ded842
hexb6e89f3ca6d0

201110220220112 has 160 divisors (see below), whose sum is σ = 465919744942080. Its totient is φ = 82313025500160.

The previous prime is 201110220220111. The next prime is 201110220220153. The reversal of 201110220220112 is 211022022011102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201110220220111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36621812 + ... + 41753772.

It is an arithmetic number, because the mean of its divisors is an integer number (2911998405888).

Almost surely, 2201110220220112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201110220220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232959872471040).

201110220220112 is an abundant number, since it is smaller than the sum of its proper divisors (264809524721968).

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

201110220220112 is a wasteful number, since it uses less digits than its factorization.

201110220220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5132201 (or 5132195 counting only the distinct ones).

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

Adding to 201110220220112 its reverse (211022022011102), we get a palindrome (412132242231214).

The spelling of 201110220220112 in words is "two hundred one trillion, one hundred ten billion, two hundred twenty million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 43 56 79 86 103 112 158 172 206 301 316 344 412 553 602 632 688 721 824 1106 1204 1264 1442 1648 2212 2408 2884 3397 4424 4429 4816 5768 6794 8137 8848 8858 11536 13588 16274 17716 23779 27176 31003 32548 35432 47558 54352 56959 62006 65096 70864 95116 113918 124012 130192 190232 227836 248024 349891 380464 455672 496048 699782 911344 1399564 2449237 2799128 4898474 5131961 5598256 9796948 10263922 19593896 20527844 35923727 39187792 41055688 71847454 82111376 143694908 220674323 287389816 405424919 441348646 528591983 574779632 810849838 882697292 1057183966 1544720261 1621699676 1765394584 2114367932 2837974433 3089440522 3243399352 3530789168 3700143881 4228735864 5675948866 6178881044 6486798704 7400287762 8457471728 11351897732 12357762088 14800575524 17433271517 22703795464 22729455269 24715524176 29601151048 34866543034 41758766657 45407590928 45458910538 59202302096 69733086068 83517533314 90917821076 122032900619 139466172136 159106186883 167035066628 181835642152 244065801238 278932344272 292311366599 318212373766 334070133256 363671284304 488131602476 584622733198 636424747532 668140266512 976263204952 1169245466396 1272849495064 1795626966251 1952526409904 2338490932792 2545698990128 3591253932502 4676981865584 7182507865004 12569388763757 14365015730008 25138777527514 28730031460016 50277555055028 100555110110056 201110220220112