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111010022112 = 25311105123127
BaseRepresentation
bin110011101100010110…
…1101000001011100000
3101121112110221102020110
41213120231220023200
53304322031201422
6122555230011320
711006634422223
oct1473055501340
9347473842213
10111010022112
1143096299730
1219621046b40
13a611835a22
1455313bd5ba
152d4ab0860c
hex19d8b682e0

111010022112 has 48 divisors (see below), whose sum is σ = 317892339072. Its totient is φ = 33639400320.

The previous prime is 111010022051. The next prime is 111010022131. The reversal of 111010022112 is 211220010111.

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 an unprimeable number.

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, 52560508 + ... + 52562619.

It is an arithmetic number, because the mean of its divisors is an integer number (6622757064).

Almost surely, 2111010022112 is an apocalyptic number.

111010022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111010022112 is an abundant number, since it is smaller than the sum of its proper divisors (206882316960).

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

111010022112 is a wasteful number, since it uses less digits than its factorization.

111010022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105123151 (or 105123143 counting only the distinct ones).

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

Adding to 111010022112 its reverse (211220010111), we get a palindrome (322230032223).

The spelling of 111010022112 in words is "one hundred eleven billion, ten million, twenty-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 105123127 210246254 315369381 420492508 630738762 840985016 1156354397 1261477524 1681970032 2312708794 2522955048 3363940064 3469063191 4625417588 5045910096 6938126382 9250835176 10091820192 13876252764 18501670352 27752505528 37003340704 55505011056 111010022112