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110020110000 = 24354149151163
BaseRepresentation
bin110011001110110110…
…1011010011010110000
3101111222111020200002220
41212131231122122300
53300310122010000
6122313104441040
710643254335123
oct1463555323260
9344874220086
10110020110000
1142728536049
12193a5619180
13a4b471b408
145479b3a3ba
152cddc6b1a0
hex199db5a6b0

110020110000 has 400 divisors, whose sum is σ = 362119084800. Its totient is φ = 28771200000.

The previous prime is 110020109971. The next prime is 110020110001. The reversal of 110020110000 is 11020011.

110020110000 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 (400).

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is not an unprimeable number, because it can be changed into a prime (110020110001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 674969919 + ... + 674970081.

It is an arithmetic number, because the mean of its divisors is an integer number (905297712).

Almost surely, 2110020110000 is an apocalyptic number.

110020110000 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 110020110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181059542400).

110020110000 is an abundant number, since it is smaller than the sum of its proper divisors (252098974800).

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

110020110000 is a wasteful number, since it uses less digits than its factorization.

110020110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 110020110000 its reverse (11020011), we get a palindrome (110031130011).

The spelling of 110020110000 in words is "one hundred ten billion, twenty million, one hundred ten thousand".