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110221012221012 = 22327113476991783
BaseRepresentation
bin11001000011111011010100…
…010001111011110001010100
3112110021000200212000220001100
4121003323110101323301110
5103421330113112033022
61030230500050430100
732134130301431250
oct3103732421736124
9473230625026040
10110221012221012
1132135517a41000
12104416a1b92330
134966a488c3bb4
141d30a22917260
15cb217c6ea1ac
hex643ed447bc54

110221012221012 has 288 divisors, whose sum is σ = 357685797740544. Its totient is φ = 28019706200640.

The previous prime is 110221012220993. The next prime is 110221012221071. The reversal of 110221012221012 is 210122210122011.

110221012221012 is a `hidden beast` number, since 110 + 2 + 210 + 122 + 210 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12268473 + ... + 19260255.

It is an arithmetic number, because the mean of its divisors is an integer number (1241964575488).

Almost surely, 2110221012221012 is an apocalyptic number.

110221012221012 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 110221012221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178842898870272).

110221012221012 is an abundant number, since it is smaller than the sum of its proper divisors (247464785519532).

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

110221012221012 is a wasteful number, since it uses less digits than its factorization.

110221012221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6991880 (or 6991853 counting only the distinct ones).

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

Adding to 110221012221012 its reverse (210122210122011), we get a palindrome (320343222343023).

The spelling of 110221012221012 in words is "one hundred ten trillion, two hundred twenty-one billion, twelve million, two hundred twenty-one thousand, twelve".