Search a number
-
+
110100220000 = 255431311571
BaseRepresentation
bin110011010001001111…
…1000000100001100000
3101112012001222200100221
41212202133000201200
53300441124020000
6122325045452424
710645246300021
oct1464237004140
9345161880327
10110100220000
1142769781961
1219408411114
13a4c81b9894
145486630c48
152ce5ce261a
hex19a27c0860

110100220000 has 240 divisors, whose sum is σ = 280990854144. Its totient is φ = 42408000000.

The previous prime is 110100219991. The next prime is 110100220003. The reversal of 110100220000 is 22001011.

110100220000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100220003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 192819715 + ... + 192820285.

Almost surely, 2110100220000 is an apocalyptic number.

110100220000 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 110100220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140495427072).

110100220000 is an abundant number, since it is smaller than the sum of its proper divisors (170890634144).

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

110100220000 is an equidigital number, since it uses as much as digits as its factorization.

110100220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 110100220000 its reverse (22001011), we get a palindrome (110122221011).

The spelling of 110100220000 in words is "one hundred ten billion, one hundred million, two hundred twenty thousand".