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110020000 = 25545501
BaseRepresentation
bin1101000111011…
…00010110100000
321200000121001211
412203230112200
5211131120000
614530035504
72504104006
oct643542640
9250017054
10110020000
1157115722
1230a18b94
1319a414bc
141087ca76
1599d37ba
hex68ec5a0

110020000 has 60 divisors (see below), whose sum is σ = 270714906. Its totient is φ = 44000000.

The previous prime is 110019991. The next prime is 110020003. The reversal of 110020000 is 20011.

It can be written as a sum of positive squares in 5 ways, for example, as 19465744 + 90554256 = 4412^2 + 9516^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (110020003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17250 + ... + 22750.

Almost surely, 2110020000 is an apocalyptic number.

110020000 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 110020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135357453).

110020000 is an abundant number, since it is smaller than the sum of its proper divisors (160694906).

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

110020000 is an frugal number, since it uses more digits than its factorization.

110020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5531 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 110020000 is about 10489.0419009555. The cubic root of 110020000 is about 479.1710228547.

Adding to 110020000 its reverse (20011), we get a palindrome (110040011).

The spelling of 110020000 in words is "one hundred ten million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 5501 10000 11002 20000 22004 27505 44008 55010 88016 110020 137525 176032 220040 275050 440080 550100 687625 880160 1100200 1375250 2200400 2750500 3438125 4400800 5501000 6876250 11002000 13752500 22004000 27505000 55010000 110020000