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110585385234 = 23229211849397
BaseRepresentation
bin110011011111101100…
…1110001000100010010
3101120102212220121221200
41212333121301010102
53302434324311414
6122445140332030
710663260156642
oct1467731610422
9346385817850
10110585385234
1142998626765
12195229a4016
13a5748795bc
1454d0c44522
152d236ca109
hex19bf671112

110585385234 has 24 divisors (see below), whose sum is σ = 247863795660. Its totient is φ = 35590698528.

The previous prime is 110585385233. The next prime is 110585385257. The reversal of 110585385234 is 432583585011.

110585385234 is a `hidden beast` number, since 1 + 1 + 0 + 585 + 38 + 5 + 2 + 34 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105335948025 + 5249437209 = 324555^2 + 72453^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 110585385234.

It is not an unprimeable number, because it can be changed into a prime (110585385233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105924177 + ... + 105925220.

Almost surely, 2110585385234 is an apocalyptic number.

110585385234 is an abundant number, since it is smaller than the sum of its proper divisors (137278410426).

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

110585385234 is a wasteful number, since it uses less digits than its factorization.

110585385234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211849434 (or 211849431 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 110585385234 in words is "one hundred ten billion, five hundred eighty-five million, three hundred eighty-five thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 211849397 423698794 635548191 1271096382 1906644573 3813289146 6143632513 12287265026 18430897539 36861795078 55292692617 110585385234