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112012002022221 = 32728310531596579
BaseRepresentation
bin11001011101111111010011…
…100101110101001101001101
3112200121020120000022112101200
4121131333103211311031031
5104140201040004202341
61034121334153500113
732410412554523220
oct3135772345651515
9480536500275350
10112012002022221
1132766028aa3a04
1210690814a11639
134a668c0227912
141d935a47b75b7
15ce3a5120edb6
hex65dfd397534d

112012002022221 has 48 divisors (see below), whose sum is σ = 185580021020160. Its totient is φ = 63774522283680.

The previous prime is 112012002022169. The next prime is 112012002022231. The reversal of 112012002022221 is 122220200210211.

It is a happy number.

112012002022221 is a `hidden beast` number, since 1 + 1 + 201 + 200 + 20 + 22 + 221 = 666.

It is not a de Polignac number, because 112012002022221 - 27 = 112012002022093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112012002022194 and 112012002022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112012002022231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187458910 + ... + 188055488.

It is an arithmetic number, because the mean of its divisors is an integer number (3866250437920).

Almost surely, 2112012002022221 is an apocalyptic number.

It is an amenable number.

112012002022221 is a deficient number, since it is larger than the sum of its proper divisors (73568018997939).

112012002022221 is a wasteful number, since it uses less digits than its factorization.

112012002022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607406 (or 607403 counting only the distinct ones).

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

Adding to 112012002022221 its reverse (122220200210211), we get a palindrome (234232202232432).

The spelling of 112012002022221 in words is "one hundred twelve trillion, twelve billion, two million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 63 283 849 1981 2547 5943 10531 17829 31593 73717 94779 221151 596579 663453 1789737 2980273 4176053 5369211 8940819 12528159 20861911 26822457 37584477 62585733 168831857 187757199 506495571 1181822999 1519486713 3545468997 6282573449 10636406991 18847720347 43978014143 56543161041 131934042429 395802127287 1777968286067 5333904858201 12445778002469 16001714574603 37337334007407 112012002022221