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111200102112 = 25311105303127
BaseRepresentation
bin110011110010000001…
…0101110011011100000
3101122000201121110222110
41213210002232123200
53310214211231422
6123030140035320
711014433162301
oct1474402563340
9348021543873
10111200102112
1143183616640
1219674832b40
13a6420289b8
14554c73c7a8
152d5c65360c
hex19e40ae6e0

111200102112 has 48 divisors (see below), whose sum is σ = 318436659072. Its totient is φ = 33697000320.

The previous prime is 111200102021. The next prime is 111200102113. The reversal of 111200102112 is 211201002111.

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

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 (111200102113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52650508 + ... + 52652619.

It is an arithmetic number, because the mean of its divisors is an integer number (6634097064).

Almost surely, 2111200102112 is an apocalyptic number.

111200102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111200102112 is an abundant number, since it is smaller than the sum of its proper divisors (207236556960).

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

111200102112 is a wasteful number, since it uses less digits than its factorization.

111200102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105303151 (or 105303143 counting only the distinct ones).

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

Adding to 111200102112 its reverse (211201002111), we get a palindrome (322401104223).

It can be divided in two parts, 111200 and 102112, that added together give a palindrome (213312).

The spelling of 111200102112 in words is "one hundred eleven billion, two hundred 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 105303127 210606254 315909381 421212508 631818762 842425016 1158334397 1263637524 1684850032 2316668794 2527275048 3369700064 3475003191 4633337588 5054550096 6950006382 9266675176 10109100192 13900012764 18533350352 27800025528 37066700704 55600051056 111200102112