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112220101120212 = 223217733250158497
BaseRepresentation
bin11001100001000001000111…
…010000111001000011010100
3112201100010200210111000200100
4121201001013100321003110
5104202103231341321322
61034401111443414100
732431430501624631
oct3141010720710324
9481303623430610
10112220101120212
1132836306568318
1210705010984330
134a80405475c67
141d9d6a639b188
15ce9180706dac
hex6610474390d4

112220101120212 has 72 divisors (see below), whose sum is σ = 300763560877416. Its totient is φ = 35158275661824.

The previous prime is 112220101120181. The next prime is 112220101120223. The reversal of 112220101120212 is 212021101022211.

112220101120212 is a `hidden beast` number, since 1 + 12 + 220 + 101 + 120 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97119369367056 + 15100731753156 = 9854916^2 + 3885966^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124630653 + ... + 125527844.

It is an arithmetic number, because the mean of its divisors is an integer number (4177271678853).

Almost surely, 2112220101120212 is an apocalyptic number.

112220101120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112220101120212 is an abundant number, since it is smaller than the sum of its proper divisors (188543459757204).

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

112220101120212 is a wasteful number, since it uses less digits than its factorization.

112220101120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250159257 (or 250159252 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112220101120212 its reverse (212021101022211), we get a palindrome (324241202142423).

The spelling of 112220101120212 in words is "one hundred twelve trillion, two hundred twenty billion, one hundred one million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 733 1466 2199 2932 4398 6597 8796 12461 13194 24922 26388 37383 49844 74766 112149 149532 224298 448596 250158497 500316994 750475491 1000633988 1500950982 2251426473 3001901964 4252694449 4502852946 8505388898 9005705892 12758083347 17010777796 25516166694 38274250041 51032333388 76548500082 153097000164 183366178301 366732356602 550098534903 733464713204 1100197069806 1650295604709 2200394139612 3117225031117 3300591209418 6234450062234 6601182418836 9351675093351 12468900124468 18703350186702 28055025280053 37406700373404 56110050560106 112220101120212