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110011212212112 = 24325091500916997
BaseRepresentation
bin11001000000110111111011…
…001110011010011110010000
3112102111222011112022011122100
4121000313323032122132100
5103404410430311241422
61025550241520240400
732113022251661601
oct3100677316323620
9472458145264570
10110011212212112
11320645473420a2
1210408ab0470100
13495002216a7b3
141d247dd091da8
15cab99dc1e7ac
hex640dfb39a790

110011212212112 has 60 divisors (see below), whose sum is σ = 308483470598940. Its totient is φ = 36598360030464.

The previous prime is 110011212212071. The next prime is 110011212212119. The reversal of 110011212212112 is 211212212110011.

It is a happy number.

110011212212112 is a `hidden beast` number, since 110 + 0 + 1 + 121 + 221 + 211 + 2 = 666.

110011212212112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39407458231296 + 70603753980816 = 6277536^2 + 8402604^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (110011212212119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 750385203 + ... + 750531794.

It is an arithmetic number, because the mean of its divisors is an integer number (5141391176649).

Almost surely, 2110011212212112 is an apocalyptic number.

110011212212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110011212212112 is an abundant number, since it is smaller than the sum of its proper divisors (198472258386828).

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

110011212212112 is a wasteful number, since it uses less digits than its factorization.

110011212212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500917520 (or 1500917511 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 110011212212112 its reverse (211212212110011), we get a palindrome (321223424322123).

The spelling of 110011212212112 in words is "one hundred ten trillion, eleven billion, two hundred twelve million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 509 1018 1527 2036 3054 4072 4581 6108 8144 9162 12216 18324 24432 36648 73296 1500916997 3001833994 4502750991 6003667988 9005501982 12007335976 13508252973 18011003964 24014671952 27016505946 36022007928 54033011892 72044015856 108066023784 216132047568 763966751473 1527933502946 2291900254419 3055867005892 4583800508838 6111734011784 6875700763257 9167601017676 12223468023568 13751401526514 18335202035352 27502803053028 36670404070704 55005606106056 110011212212112