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110022110220 = 223511199199547
BaseRepresentation
bin110011001110111010…
…1000010110000001100
3101111222122000021220010
41212131311002300030
53300311130011340
6122313215353220
710643310335511
oct1463565026014
9344878007803
10110022110220
1142729681920
12193a6222810
13a4b4c6b989
14547a0db308
152cde013b80
hex199dd42c0c

110022110220 has 192 divisors, whose sum is σ = 354177331200. Its totient is φ = 25238096640.

The previous prime is 110022110213. The next prime is 110022110221. The reversal of 110022110220 is 22011220011.

110022110220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110022110196 and 110022110205.

It is not an unprimeable number, because it can be changed into a prime (110022110221) 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 63 ways as a sum of consecutive naturals, for example, 11519487 + ... + 11529033.

It is an arithmetic number, because the mean of its divisors is an integer number (1844673600).

Almost surely, 2110022110220 is an apocalyptic number.

110022110220 is a gapful number since it is divisible by the number (10) 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 110022110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177088665600).

110022110220 is an abundant number, since it is smaller than the sum of its proper divisors (244155220980).

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

110022110220 is a wasteful number, since it uses less digits than its factorization.

110022110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10508 (or 10506 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110022110220 its reverse (22011220011), we get a palindrome (132033330231).

The spelling of 110022110220 in words is "one hundred ten billion, twenty-two million, one hundred ten thousand, two hundred twenty".