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112322230010010 = 23254125871264787
BaseRepresentation
bin11001100010100000001110…
…100111101100000010011010
3112201200220022100000011201100
4121202200032213230002122
5104210241411340310020
61034520041540132230
732442004366103136
oct3142401647540232
9481626270004640
10112322230010010
1132875654673879
1210720973697076
134a89c3004a0b7
141da45d40683c6
15cebb5b7b3a90
hex66280e9ec09a

112322230010010 has 144 divisors (see below), whose sum is σ = 299844576184608. Its totient is φ = 29172238498560.

The previous prime is 112322230010009. The next prime is 112322230010027. The reversal of 112322230010010 is 10010032223211.

112322230010010 is a `hidden beast` number, since 1 + 1 + 2 + 322 + 230 + 0 + 100 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88174837 + ... + 89439623.

It is an arithmetic number, because the mean of its divisors is an integer number (2082254001282).

Almost surely, 2112322230010010 is an apocalyptic number.

112322230010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112322230010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149922288092304).

112322230010010 is an abundant number, since it is smaller than the sum of its proper divisors (187522346174598).

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

112322230010010 is a wasteful number, since it uses less digits than its factorization.

112322230010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265469 (or 1265425 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112322230010010 its reverse (10010032223211), we get a palindrome (122332262233221).

The spelling of 112322230010010 in words is "one hundred twelve trillion, three hundred twenty-two billion, two hundred thirty million, ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 587 615 738 1174 1230 1681 1761 1845 2935 3362 3522 3690 5043 5283 5870 8405 8805 10086 10566 15129 16810 17610 24067 25215 26415 30258 48134 50430 52830 72201 75645 120335 144402 151290 216603 240670 361005 433206 722010 986747 1083015 1264787 1973494 2166030 2529574 2960241 3794361 4933735 5920482 6323935 7588722 8880723 9867470 11383083 12647870 14801205 17761446 18971805 22766166 29602410 37943610 44403615 51856267 56915415 88807230 103712534 113830830 155568801 259281335 311137602 466706403 518562670 742429969 777844005 933412806 1484859938 1555688010 2126106947 2227289907 2333532015 3712149845 4252213894 4454579814 4667064030 6378320841 6681869721 7424299690 10630534735 11136449535 12756641682 13363739442 19134962523 21261069470 22272899070 30439628729 31891604205 33409348605 38269925046 60879257458 63783208410 66818697210 91318886187 95674812615 152198143645 182637772374 191349625230 273956658561 304396287290 456594430935 547913317122 913188861870 1248024777889 1369783292805 2496049555778 2739566585610 3744074333667 6240123889445 7488148667334 11232223001001 12480247778890 18720371668335 22464446002002 37440743336670 56161115005005 112322230010010