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110123122208 = 2511253332
BaseRepresentation
bin110011010001111011…
…0010111111000100000
3101112020200002020021212
41212203312113320200
53301013004402313
6122331224405252
710645645044221
oct1464366277040
9345220066255
10110123122208
11427806a4700
1219414016828
13a4ccb77c98
1454896b3248
152ce7d183a8
hex19a3d97e20

110123122208 has 54 divisors (see below), whose sum is σ = 238350902517. Its totient is φ = 50046578560.

The previous prime is 110123122183. The next prime is 110123122231. The reversal of 110123122208 is 802221321011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 61082133904 + 49040988304 = 247148^2 + 221452^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=234652.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 20646710 + ... + 20652042.

Almost surely, 2110123122208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110123122208

110123122208 is an abundant number, since it is smaller than the sum of its proper divisors (128227780309).

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

110123122208 is an frugal number, since it uses more digits than its factorization.

110123122208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10698 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 110123122208 its reverse (802221321011), we get a palindrome (912344443219).

The spelling of 110123122208 in words is "one hundred ten billion, one hundred twenty-three million, one hundred twenty-two thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 5333 10666 21332 42664 58663 85328 117326 170656 234652 469304 645293 938608 1290586 1877216 2581172 5162344 10324688 20649376 28440889 56881778 113763556 227527112 312849779 455054224 625699558 910108448 1251399116 2502798232 3441347569 5005596464 6882695138 10011192928 13765390276 27530780552 55061561104 110123122208