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110012102112 = 25311104178127
BaseRepresentation
bin110011001110100111…
…0110111010111100000
3101111221221011211100110
41212131032313113200
53300301044231422
6122312221051320
710643126303403
oct1463516672740
9344857154313
10110012102112
1142723a66660
12193a29b6b40
13a4b2b76513
145478a53d3a
152cdd1d860c
hex199d3b75e0

110012102112 has 48 divisors (see below), whose sum is σ = 315034659072. Its totient is φ = 33337000320.

The previous prime is 110012102093. The next prime is 110012102113. The reversal of 110012102112 is 211201210011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1100121021122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110012102113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52088008 + ... + 52090119.

It is an arithmetic number, because the mean of its divisors is an integer number (6563222064).

Almost surely, 2110012102112 is an apocalyptic number.

110012102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110012102112 is an abundant number, since it is smaller than the sum of its proper divisors (205022556960).

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

110012102112 is a wasteful number, since it uses less digits than its factorization.

110012102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104178151 (or 104178143 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110012102112 its reverse (211201210011), we get a palindrome (321213312123).

The spelling of 110012102112 in words is "one hundred ten billion, twelve million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 104178127 208356254 312534381 416712508 625068762 833425016 1145959397 1250137524 1666850032 2291918794 2500275048 3333700064 3437878191 4583837588 5000550096 6875756382 9167675176 10001100192 13751512764 18335350352 27503025528 36670700704 55006051056 110012102112