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112232455202241 = 33111891319980281
BaseRepresentation
bin11001100001001100100111…
…100111111110010111000001
3112201101022120202212102021000
4121201030213213332113001
5104202304032012432431
61034410513402322213
732432345602606533
oct3141144747762701
9481338522772230
10112232455202241
1132840576081a70
121070749a1b9369
134a81623a9297a
141da0119029853
15ce96550ba9e6
hex6613279fe5c1

112232455202241 has 32 divisors (see below), whose sum is σ = 181395385799040. Its totient is φ = 68016069964800.

The previous prime is 112232455202221. The next prime is 112232455202243. The reversal of 112232455202241 is 142202554232211.

112232455202241 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 32 + 45 + 520 + 22 + 41 = 666.

It is not a de Polignac number, because 112232455202241 - 213 = 112232455194049 is a prime.

It is a super-2 number, since 2×1122324552022412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112232455202196 and 112232455202205.

It is not an unprimeable number, because it can be changed into a prime (112232455202243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4372980 + ... + 15607301.

It is an arithmetic number, because the mean of its divisors is an integer number (5668605806220).

Almost surely, 2112232455202241 is an apocalyptic number.

112232455202241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112232455202241 is a deficient number, since it is larger than the sum of its proper divisors (69162930596799).

112232455202241 is a wasteful number, since it uses less digits than its factorization.

112232455202241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19999214 (or 19999208 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 112232455202241 in words is "one hundred twelve trillion, two hundred thirty-two billion, four hundred fifty-five million, two hundred two thousand, two hundred forty-one".

Divisors: 1 3 9 11 27 33 99 297 18913 56739 170217 208043 510651 624129 1872387 5617161 19980281 59940843 179822529 219783091 539467587 659349273 1978047819 5934143457 377887054553 1133661163659 3400983490977 4156757600083 10202950472931 12470272800249 37410818400747 112232455202241