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109808181120 = 27351141211601
BaseRepresentation
bin110011001000100010…
…0111101111110000000
3101111102201110120100010
41212101010331332000
53244341343243440
6122240054224520
710635102065511
oct1462104757600
9344381416303
10109808181120
1142629945810
1219346655140
13a47c848601
145459930a08
152cca357580
hex199113df80

109808181120 has 512 divisors, whose sum is σ = 393653675520. Its totient is φ = 25804800000.

The previous prime is 109808181101. The next prime is 109808181127. The reversal of 109808181120 is 21181808901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109808181127) 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, 182708820 + ... + 182709420.

It is an arithmetic number, because the mean of its divisors is an integer number (768854835).

Almost surely, 2109808181120 is an apocalyptic number.

109808181120 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 109808181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196826837760).

109808181120 is an abundant number, since it is smaller than the sum of its proper divisors (283845494400).

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

109808181120 is a wasteful number, since it uses less digits than its factorization.

109808181120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 39.

The spelling of 109808181120 in words is "one hundred nine billion, eight hundred eight million, one hundred eighty-one thousand, one hundred twenty".