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110011020000 = 253547475573
BaseRepresentation
bin110011001110100101…
…0101111001011100000
3101111221212010211222020
41212131022233023200
53300300310120000
6122312141541440
710643114145510
oct1463512571340
9344855124866
10110011020000
1142723397652
12193a2574880
13a4b2887b0b
145478851840
152cdd072ba0
hex199d2af2e0

110011020000 has 480 divisors, whose sum is σ = 421259553792. Its totient is φ = 24605952000.

The previous prime is 110011019999. The next prime is 110011020013. The reversal of 110011020000 is 20110011.

It is a tau number, because it is divible by the number of its divisors (480).

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19737214 + ... + 19742786.

Almost surely, 2110011020000 is an apocalyptic number.

110011020000 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 110011020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210629776896).

110011020000 is an abundant number, since it is smaller than the sum of its proper divisors (311248533792).

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

110011020000 is an equidigital number, since it uses as much as digits as its factorization.

110011020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5660 (or 5637 counting only the distinct ones).

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

Adding to 110011020000 its reverse (20110011), we get a palindrome (110031130011).

The spelling of 110011020000 in words is "one hundred ten billion, eleven million, twenty thousand".