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110222011220112 = 24331147641769903
BaseRepresentation
bin11001000011111100001111…
…110100110100000010010000
3112110021010021110211022012000
4121003330033310310002100
5103421334134333020422
61030231143134434000
732134164121663131
oct3103741764640220
9473233243738160
10110222011220112
113213598a9408a0
1210441920662900
134966b7787061c
141d30ab9483c88
15cb21da27ecac
hex643f0fd34090

110222011220112 has 320 divisors, whose sum is σ = 353033381560320. Its totient is φ = 32638917427200.

The previous prime is 110222011220077. The next prime is 110222011220171. The reversal of 110222011220112 is 211022110222011.

110222011220112 is a `hidden beast` number, since 1 + 102 + 220 + 11 + 220 + 112 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142778553 + ... + 143548455.

It is an arithmetic number, because the mean of its divisors is an integer number (1103229317376).

Almost surely, 2110222011220112 is an apocalyptic number.

110222011220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110222011220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176516690780160).

110222011220112 is an abundant number, since it is smaller than the sum of its proper divisors (242811370340208).

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

110222011220112 is a wasteful number, since it uses less digits than its factorization.

110222011220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770619 (or 770607 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110222011220112 its reverse (211022110222011), we get a palindrome (321244121442123).

The spelling of 110222011220112 in words is "one hundred ten trillion, two hundred twenty-two billion, eleven million, two hundred twenty thousand, one hundred twelve".