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110220222112 = 257211133791297
BaseRepresentation
bin110011010100110100…
…0110001111010100000
3101112111102210102022121
41212221220301322200
53301212334101422
6122345013514024
710651234300300
oct1465150617240
9345442712277
10110220222112
1142820495260
1219440642914
13a517014750
14549854b600
152d015e88c7
hex19a9a31ea0

110220222112 has 288 divisors, whose sum is σ = 297565773120. Its totient is φ = 39504568320.

The previous prime is 110220222001. The next prime is 110220222121. The reversal of 110220222112 is 211222022011.

It is a happy number.

It is a super-2 number, since 2×1102202221122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 47 ways as a sum of consecutive naturals, for example, 84980248 + ... + 84981544.

It is an arithmetic number, because the mean of its divisors is an integer number (1033214490).

Almost surely, 2110220222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110220222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148782886560).

110220222112 is an abundant number, since it is smaller than the sum of its proper divisors (187345551008).

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

110220222112 is a wasteful number, since it uses less digits than its factorization.

110220222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 110220222112 its reverse (211222022011), we get a palindrome (321442244123).

The spelling of 110220222112 in words is "one hundred ten billion, two hundred twenty million, two hundred twenty-two thousand, one hundred twelve".