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111001112112 = 243111012081479
BaseRepresentation
bin110011101100000101…
…1101000111000110000
3101121111212011202000110
41213120023220320300
53304312241041422
6122554311021320
711006465612442
oct1473013507060
9347455152013
10111001112112
11430912634a0
121961a06a840
13a60ca36337
145530140492
152d49e4860c
hex19d82e8e30

111001112112 has 80 divisors (see below), whose sum is σ = 315918708480. Its totient is φ = 33303648000.

The previous prime is 111001112093. The next prime is 111001112119. The reversal of 111001112112 is 211211100111.

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

It is not an unprimeable number, because it can be changed into a prime (111001112119) 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 15 ways as a sum of consecutive naturals, for example, 987412 + ... + 1094067.

It is an arithmetic number, because the mean of its divisors is an integer number (3948983856).

Almost surely, 2111001112112 is an apocalyptic number.

111001112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111001112112 is an abundant number, since it is smaller than the sum of its proper divisors (204917596368).

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

111001112112 is a wasteful number, since it uses less digits than its factorization.

111001112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081602 (or 2081596 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 111001112112 its reverse (211211100111), we get a palindrome (322212212223).

It can be divided in two parts, 11100111 and 2112, that multiplied together give a palindrome (23443434432).

The spelling of 111001112112 in words is "one hundred eleven billion, one million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 303 404 528 606 808 1111 1212 1616 2222 2424 3333 4444 4848 6666 8888 13332 17776 26664 53328 2081479 4162958 6244437 8325916 12488874 16651832 22896269 24977748 33303664 45792538 49955496 68688807 91585076 99910992 137377614 183170152 210229379 274755228 366340304 420458758 549510456 630688137 840917516 1099020912 1261376274 1681835032 2312523169 2522752548 3363670064 4625046338 5045505096 6937569507 9250092676 10091010192 13875139014 18500185352 27750278028 37000370704 55500556056 111001112112