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110213204040 = 2335529338699
BaseRepresentation
bin110011010100100111…
…0000000100001001000
3101112110221120212100000
41212221032000201020
53301204040012130
6122344203243000
710651120530402
oct1465116004110
9345427525300
10110213204040
11428175314a5
121943a219460
13a515728244
145497641b72
152d00bae260
hex19a9380848

110213204040 has 192 divisors, whose sum is σ = 372736728000. Its totient is φ = 29289123072.

The previous prime is 110213204039. The next prime is 110213204047. The reversal of 110213204040 is 40402312011.

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 (110213204047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2828611 + ... + 2867309.

It is an arithmetic number, because the mean of its divisors is an integer number (1941337125).

Almost surely, 2110213204040 is an apocalyptic number.

110213204040 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 110213204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186368364000).

110213204040 is an abundant number, since it is smaller than the sum of its proper divisors (262523523960).

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

110213204040 is a wasteful number, since it uses less digits than its factorization.

110213204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39018 (or 39002 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 110213204040 its reverse (40402312011), we get a palindrome (150615516051).

The spelling of 110213204040 in words is "one hundred ten billion, two hundred thirteen million, two hundred four thousand, forty".