Search a number
-
+
110020232000 = 265374741801
BaseRepresentation
bin110011001110110110…
…1111000001101000000
3101111222111110212110102
41212131231320031000
53300310134411000
6122313111221532
710643255353610
oct1463555701500
9344874425412
10110020232000
1142728609778
12193a56778a8
13a4b4761ac3
145479b6ca40
152cddc923d5
hex199db78340

110020232000 has 224 divisors, whose sum is σ = 318021590016. Its totient is φ = 36917760000.

The previous prime is 110020231991. The next prime is 110020232009. The reversal of 110020232000 is 232020011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110020231991) and next prime (110020232009).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110020232009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2611100 + ... + 2652900.

Almost surely, 2110020232000 is an apocalyptic number.

110020232000 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 110020232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159010795008).

110020232000 is an abundant number, since it is smaller than the sum of its proper divisors (208001358016).

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

110020232000 is an equidigital number, since it uses as much as digits as its factorization.

110020232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41882 (or 41862 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 110020232000 its reverse (232020011), we get a palindrome (110252252011).

The spelling of 110020232000 in words is "one hundred ten billion, twenty million, two hundred thirty-two thousand".