Search a number
-
+
110113020000 = 253554139163
BaseRepresentation
bin110011010001100111…
…1110101100001100000
3101112012222001222200000
41212203033311201200
53301002413120000
6122330224100000
710645463140554
oct1464317654140
9345188058600
10110113020000
1142775a24775
1219410764600
13a4caa4ba49
145488203864
152ce6ec0000
hex19a33f5860

110113020000 has 720 divisors, whose sum is σ = 411211120320. Its totient is φ = 28973376000.

The previous prime is 110113019977. The next prime is 110113020013. The reversal of 110113020000 is 20311011.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 675539919 + ... + 675540081.

It is an arithmetic number, because the mean of its divisors is an integer number (571126556).

Almost surely, 2110113020000 is an apocalyptic number.

110113020000 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 110113020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205605560160).

110113020000 is an abundant number, since it is smaller than the sum of its proper divisors (301098100320).

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

110113020000 is an equidigital number, since it uses as much as digits as its factorization.

110113020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 110113020000 its reverse (20311011), we get a palindrome (110133331011).

The spelling of 110113020000 in words is "one hundred ten billion, one hundred thirteen million, twenty thousand".