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110311220040 = 23357675413623
BaseRepresentation
bin110011010111100001…
…1111010001101001000
3101112201210000121000020
41212233003322031020
53301404133020130
6122402024140440
710653420620340
oct1465703721510
9345653017006
10110311220040
114286789835a
1219467007720
13a52cb25988
1454a6677d20
152d095c0e10
hex19af0fa348

110311220040 has 256 divisors, whose sum is σ = 384670494720. Its totient is φ = 24784911360.

The previous prime is 110311220039. The next prime is 110311220093. The reversal of 110311220040 is 40022113011.

Adding to 110311220040 its reverse (40022113011), we get a palindrome (150333333051).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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, 30445669 + ... + 30449291.

It is an arithmetic number, because the mean of its divisors is an integer number (1502619120).

Almost surely, 2110311220040 is an apocalyptic number.

110311220040 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 110311220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192335247360).

110311220040 is an abundant number, since it is smaller than the sum of its proper divisors (274359274680).

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

110311220040 is a wasteful number, since it uses less digits than its factorization.

110311220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The spelling of 110311220040 in words is "one hundred ten billion, three hundred eleven million, two hundred twenty thousand, forty".