Search a number
-
+
110330010000 = 2432547732399
BaseRepresentation
bin110011011000000101…
…1100101100110010000
3101112210002101012222200
41212300023211212100
53301423440310000
6122403535003200
710654036416510
oct1466013454620
9345702335880
10110330010000
1142877461551
1219471369500
13a5339a43b2
1454a8d69840
152d0b083500
hex19b02e5990

110330010000 has 600 divisors, whose sum is σ = 447186854400. Its totient is φ = 24862464000.

The previous prime is 110330009963. The next prime is 110330010017. The reversal of 110330010000 is 10033011.

110330010000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×1103300100002 (a number of 23 digits) contains 22 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 45988801 + ... + 45991199.

It is an arithmetic number, because the mean of its divisors is an integer number (745311424).

Almost surely, 2110330010000 is an apocalyptic number.

110330010000 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 110330010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223593427200).

110330010000 is an abundant number, since it is smaller than the sum of its proper divisors (336856844400).

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

110330010000 is a wasteful number, since it uses less digits than its factorization.

110330010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2489 counting only the distinct ones).

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

Adding to 110330010000 its reverse (10033011), we get a palindrome (110340043011).

The spelling of 110330010000 in words is "one hundred ten billion, three hundred thirty million, ten thousand".