Search a number
-
+
111009278380 = 2257111347117977
BaseRepresentation
bin110011101100010101…
…0110010100110101100
3101121112102112122000211
41213120222302212230
53304321333402010
6122555202032204
711006625204010
oct1473052624654
9347472478024
10111009278380
1143095930980
1219620948664
13a611635350
145531268540
152d4aa0d08a
hex19d8ab29ac

111009278380 has 192 divisors, whose sum is σ = 319661862912. Its totient is φ = 31258920960.

The previous prime is 111009278363. The next prime is 111009278383. The reversal of 111009278380 is 83872900111.

It is not an unprimeable number, because it can be changed into a prime (111009278383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 881952 + ... + 999928.

It is an arithmetic number, because the mean of its divisors is an integer number (1664905536).

Almost surely, 2111009278380 is an apocalyptic number.

111009278380 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 111009278380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159830931456).

111009278380 is an abundant number, since it is smaller than the sum of its proper divisors (208652584532).

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

111009278380 is a wasteful number, since it uses less digits than its factorization.

111009278380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118064 (or 118062 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 40.

The spelling of 111009278380 in words is "one hundred eleven billion, nine million, two hundred seventy-eight thousand, three hundred eighty".