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110332310009 = 10131314092477
BaseRepresentation
bin110011011000001010…
…0010111000111111001
3101112210020201002000012
41212300110113013321
53301430032410014
6122404100151305
710654065106205
oct1466024270771
9345706632005
10110332310009
1142878792589
1219472098535
13a5342cb24c
1454a93a7b05
152d0b389c3e
hex19b05171f9

110332310009 has 16 divisors (see below), whose sum is σ = 111905191440. Its totient is φ = 108769689600.

The previous prime is 110332309993. The next prime is 110332310017. The reversal of 110332310009 is 900013233011.

It can be written as a sum of positive squares in 8 ways, for example, as 16325683984 + 94006626025 = 127772^2 + 306605^2 .

It is a cyclic number.

It is not a de Polignac number, because 110332310009 - 24 = 110332309993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110332310059) 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 15 ways as a sum of consecutive naturals, for example, 44541479 + ... + 44543955.

It is an arithmetic number, because the mean of its divisors is an integer number (6994074465).

Almost surely, 2110332310009 is an apocalyptic number.

It is an amenable number.

110332310009 is a deficient number, since it is larger than the sum of its proper divisors (1572881431).

110332310009 is a wasteful number, since it uses less digits than its factorization.

110332310009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300.

The product of its (nonzero) digits is 486, while the sum is 23.

The spelling of 110332310009 in words is "one hundred ten billion, three hundred thirty-two million, three hundred ten thousand, nine".

Divisors: 1 101 313 1409 2477 31613 142309 250177 441017 775301 3490093 44542717 78305401 352499393 1092399109 110332310009