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112331211313332 = 223112415791860629
BaseRepresentation
bin11001100010101000100101…
…111100101001000010110100
3112201201202111020220122201010
4121202220211330221002310
5104210413310044011312
61034524125052432220
732442443063654004
oct3142504574510264
9481652436818633
10112331211313332
1132879443354a00
121072265b478670
134a8aa3198226b
141da4c06bb4004
15cebed4eea93c
hex662a25f290b4

112331211313332 has 72 divisors (see below), whose sum is σ = 288107242869600. Its totient is φ = 34038924032960.

The previous prime is 112331211313313. The next prime is 112331211313357. The reversal of 112331211313332 is 233313112133211.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112331211313332.

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, 59442394 + ... + 61303022.

It is an arithmetic number, because the mean of its divisors is an integer number (4001489484300).

Almost surely, 2112331211313332 is an apocalyptic number.

112331211313332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112331211313332 is an abundant number, since it is smaller than the sum of its proper divisors (175776031556268).

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

112331211313332 is a wasteful number, since it uses less digits than its factorization.

112331211313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902237 (or 1902224 counting only the distinct ones).

The product of its digits is 5832, while the sum is 30.

Adding to 112331211313332 its reverse (233313112133211), we get a palindrome (345644323446543).

The spelling of 112331211313332 in words is "one hundred twelve trillion, three hundred thirty-one billion, two hundred eleven million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 41579 83158 124737 166316 249474 457369 498948 914738 1372107 1829476 1860629 2744214 3721258 5031059 5488428 5581887 7442516 10062118 11163774 15093177 20124236 20466919 22327548 30186354 40933838 60372708 61400757 81867676 122801514 225136109 245603028 450272218 675408327 900544436 1350816654 2701633308 77363093191 154726186382 232089279573 309452372764 464178559146 850994025101 928357118292 1701988050202 2552982075303 3403976100404 5105964150606 9360934276111 10211928301212 18721868552222 28082802828333 37443737104444 56165605656666 112331211313332