Search a number
-
+
112200210220120 = 235111736577224113
BaseRepresentation
bin11001100000101110100101…
…101011001000010001011000
3112201021020100120020121100221
4121200232211223020101120
5104201242012304020440
61034344022012405424
732430124543023361
oct3140564553102130
9481236316217327
10112200210220120
1132828929685710
121070119b476874
134a7b585579aa9
141d9c73a794b68
15ce88b933bd4a
hex660ba5ac8458

112200210220120 has 128 divisors (see below), whose sum is σ = 277035777944640. Its totient is φ = 40557889290240.

The previous prime is 112200210220073. The next prime is 112200210220121. The reversal of 112200210220120 is 21022012002211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112200210220094 and 112200210220103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112200210220121) 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, 500529184 + ... + 500753296.

Almost surely, 2112200210220120 is an apocalyptic number.

112200210220120 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 112200210220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138517888972320).

112200210220120 is an abundant number, since it is smaller than the sum of its proper divisors (164835567724520).

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

112200210220120 is a wasteful number, since it uses less digits than its factorization.

112200210220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230885 (or 230881 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112200210220120 its reverse (21022012002211), we get a palindrome (133222222222331).

The spelling of 112200210220120 in words is "one hundred twelve trillion, two hundred billion, two hundred ten million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 173 220 346 440 692 865 1384 1730 1903 3460 3806 6577 6920 7612 9515 13154 15224 19030 26308 32885 38060 52616 65770 72347 76120 131540 144694 224113 263080 289388 361735 448226 578776 723470 896452 1120565 1137821 1446940 1792904 2241130 2275642 2465243 2893880 4482260 4551284 4930486 5689105 8964520 9102568 9860972 11378210 12326215 12516031 19721944 22756420 24652430 25032062 38771549 45512840 49304860 50064124 62580155 77543098 98609720 100128248 125160310 155086196 193857745 250320620 310172392 387715490 426487039 500641240 775430980 852974078 1473991201 1550861960 1705948156 2132435195 2947982402 3411896312 4264870390 5895964804 7369956005 8529740780 11791929608 14739912010 16213903211 17059481560 29479824020 32427806422 58959648040 64855612844 81069516055 129711225688 162139032110 255000477773 324278064220 510000955546 648556128440 1020001911092 1275002388865 2040003822184 2550004777730 2805005255503 5100009555460 5610010511006 10200019110920 11220021022012 14025026277515 22440042044024 28050052555030 56100105110060 112200210220120