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112010202210222 = 23319317094967093
BaseRepresentation
bin11001011101111101101000…
…010100000101111110101110
3112200121001220120122121111000
4121131331220110011332232
5104140133343231211342
61034120435421341130
732410320141421011
oct3135755024057656
9480531816577430
10112010202210222
1132765295058578
12106903b21077a6
134a666943a22c4
141d9347374d378
15ce39981e244c
hex65df68505fae

112010202210222 has 128 divisors (see below), whose sum is σ = 270845701632000. Its totient is φ = 34182335041920.

The previous prime is 112010202210197. The next prime is 112010202210233. The reversal of 112010202210222 is 222012202010211.

It is a happy number.

112010202210222 is a `hidden beast` number, since 1 + 1 + 20 + 10 + 202 + 210 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 112010202210195 and 112010202210204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20066908 + ... + 25034000.

It is an arithmetic number, because the mean of its divisors is an integer number (2115982044000).

Almost surely, 2112010202210222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112010202210222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135422850816000).

112010202210222 is an abundant number, since it is smaller than the sum of its proper divisors (158835499421778).

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

112010202210222 is a wasteful number, since it uses less digits than its factorization.

112010202210222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4967863 (or 4967857 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112010202210222 its reverse (222012202010211), we get a palindrome (334022404220433).

The spelling of 112010202210222 in words is "one hundred twelve trillion, ten billion, two hundred two million, two hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 62 93 114 171 186 279 342 513 558 589 709 837 1026 1178 1418 1674 1767 2127 3534 4254 5301 6381 10602 12762 13471 15903 19143 21979 26942 31806 38286 40413 43958 65937 80826 121239 131874 197811 242478 363717 395622 417601 593433 727434 835202 1186866 1252803 2505606 3758409 4967093 7516818 9934186 11275227 14901279 22550454 29802558 44703837 89407674 94374767 134111511 153979883 188749534 268223022 283124301 307959766 461939649 566248602 849372903 923879298 1385818947 1698745806 2548118709 2771637894 2925617777 3521668937 4157456841 5096237418 5851235554 7043337874 8314913682 8776853331 10565006811 17553706662 21130013622 26330559993 31695020433 52661119986 63390040866 66911709803 78991679979 95085061299 109171737047 133823419606 157983359958 190170122598 200735129409 218343474094 327515211141 401470258818 602205388227 655030422282 982545633423 1204410776454 1806616164681 1965091266846 2074263003893 2947636900269 3613232329362 4148526007786 5895273800538 6222789011679 12445578023358 18668367035037 37336734070074 56005101105111 112010202210222