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112102202222200 = 2352412595651509
BaseRepresentation
bin11001011111010011010011…
…111100010010011001111000
3112200220212101012220110021001
4121133103103330102121320
5104143140302232102300
61034231012445054344
732420055034546201
oct3137232374223170
9480825335813231
10112102202222200
11327a0305724223
12106a61a88573b4
134a72266674208
141d97ac010a5a8
15ce607ee3516a
hex65f4d3f12678

112102202222200 has 144 divisors (see below), whose sum is σ = 271677693267000. Its totient is φ = 43005715276800.

The previous prime is 112102202222161. The next prime is 112102202222209. The reversal of 112102202222200 is 2222202201211.

112102202222200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112102202222209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17010046 + ... + 22661554.

Almost surely, 2112102202222200 is an apocalyptic number.

112102202222200 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 112102202222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135838846633500).

112102202222200 is an abundant number, since it is smaller than the sum of its proper divisors (159575491044800).

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

112102202222200 is a wasteful number, since it uses less digits than its factorization.

112102202222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5651666 (or 5651616 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 112102202222200 its reverse (2222202201211), we get a palindrome (114324404423411).

The spelling of 112102202222200 in words is "one hundred twelve trillion, one hundred two billion, two hundred two million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 59 82 100 118 164 200 205 236 295 328 410 472 590 820 1025 1180 1475 1640 1681 2050 2360 2419 2950 3362 4100 4838 5900 6724 8200 8405 9676 11800 12095 13448 16810 19352 24190 33620 42025 48380 60475 67240 84050 96760 99179 120950 168100 198358 241900 336200 396716 483800 495895 793432 991790 1983580 2479475 3967160 4958950 5651509 9917900 11303018 19835800 22606036 28257545 45212072 56515090 113030180 141287725 226060360 231711869 282575450 333439031 463423738 565150900 666878062 926847476 1130301800 1158559345 1333756124 1667195155 1853694952 2317118690 2667512248 3334390310 4634237380 5792796725 6668780620 8335975775 9268474760 9500186629 11585593450 13337561240 13671000271 16671951550 19000373258 23171186900 27342000542 33343903100 38000746516 46342373800 47500933145 54684001084 66687806200 68355001355 76001493032 95001866290 109368002168 136710002710 190003732580 237504665725 273420005420 341775006775 380007465160 475009331450 546840010840 560511011111 683550013550 950018662900 1121022022222 1367100027100 1900037325800 2242044044444 2734200054200 2802555055555 4484088088888 5605110111110 11210220222220 14012775277775 22420440444440 28025550555550 56051101111100 112102202222200