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111221102112 = 2531736696839
BaseRepresentation
bin110011110010101001…
…0110101011000100000
3101122002012010101120020
41213211102311120200
53310240100231422
6123032210113440
711015106524631
oct1474522653040
9348065111506
10111221102112
114319445a20a
121967b87b880
13a64649c333
145551447888
152d5e40095c
hex19e54b5620

111221102112 has 48 divisors (see below), whose sum is σ = 293643040320. Its totient is φ = 36859396352.

The previous prime is 111221102059. The next prime is 111221102117. The reversal of 111221102112 is 211201122111.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 111221102091 and 111221102100.

It is not an unprimeable number, because it can be changed into a prime (111221102117) 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, 3331812 + ... + 3365027.

It is an arithmetic number, because the mean of its divisors is an integer number (6117563340).

Almost surely, 2111221102112 is an apocalyptic number.

111221102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111221102112 is an abundant number, since it is smaller than the sum of its proper divisors (182421938208).

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

111221102112 is a wasteful number, since it uses less digits than its factorization.

111221102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6697025 (or 6697017 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111221102112 its reverse (211201122111), we get a palindrome (322422224223).

The spelling of 111221102112 in words is "one hundred eleven billion, two hundred twenty-one million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 346 519 692 1038 1384 2076 2768 4152 5536 8304 16608 6696839 13393678 20090517 26787356 40181034 53574712 80362068 107149424 160724136 214298848 321448272 642896544 1158553147 2317106294 3475659441 4634212588 6951318882 9268425176 13902637764 18536850352 27805275528 37073700704 55610551056 111221102112