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112344222443211 = 32112376194504333
BaseRepresentation
bin11001100010110100101101…
…011110001010011011001011
3112201210000002000122112111100
4121202310231132022123023
5104211121431421140321
61034534120122232443
732443413363515163
oct3142645536123313
9481700060575440
10112344222443211
1132883a0a841400
1210725090955723
134a8c02644cb95
141da56bcbd95a3
15cec4e73ea326
hex662d2d78a6cb

112344222443211 has 72 divisors (see below), whose sum is σ = 183485126530160. Its totient is φ = 66140169701760.

The previous prime is 112344222443153. The next prime is 112344222443249.

112344222443211 is a `hidden beast` number, since 1 + 1 + 234 + 42 + 22 + 44 + 321 + 1 = 666.

112344222443211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112344222443211 - 242 = 107946175932107 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112344222443291) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22689201 + ... + 27193533.

Almost surely, 2112344222443211 is an apocalyptic number.

112344222443211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112344222443211 is a deficient number, since it is larger than the sum of its proper divisors (71140904086949).

112344222443211 is a wasteful number, since it uses less digits than its factorization.

112344222443211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505017 (or 4505003 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 112344222443211 in words is "one hundred twelve trillion, three hundred forty-four billion, two hundred twenty-two million, four hundred forty-three thousand, two hundred eleven".

Divisors: 1 3 9 11 33 37 99 111 121 333 363 407 619 1089 1221 1857 3663 4477 5571 6809 13431 20427 22903 40293 61281 68709 74899 206127 224697 251933 674091 755799 2267397 2771263 4504333 8313789 13512999 24941367 40538997 49547663 148642989 166660321 445928967 499980963 545024293 1499942889 1635072879 1833263531 2788182127 4905218637 5499790593 8364546381 16499371779 20165898841 25093639143 30670003397 60497696523 92010010191 103162738699 181493089569 276030030573 309488216097 337370037367 928464648291 1012110112101 1134790125689 3036330336303 3404370377067 10213111131201 12482691382579 37448074147737 112344222443211