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1105000000 = 26571317
BaseRepresentation
bin100000111011100…
…1111011001000000
32212000020211000221
41001313033121000
54230340000000
6301351552424
736245226226
oct10167173100
92760224027
101105000000
1151781a945
1226a08b714
13147c11770
14a6a80b16
156702261a
hex41dcf640

1105000000 has 224 divisors, whose sum is σ = 3125382624. Its totient is φ = 384000000.

The previous prime is 1104999977. The next prime is 1105000003. The reversal of 1105000000 is 5011.

It can be written as a sum of positive squares in 16 ways, for example, as 387617344 + 717382656 = 19688^2 + 26784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105000003) 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, 64999992 + ... + 65000008.

It is an arithmetic number, because the mean of its divisors is an integer number (13952601).

Almost surely, 21105000000 is an apocalyptic number.

1105000000 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 1105000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562691312).

1105000000 is an abundant number, since it is smaller than the sum of its proper divisors (2020382624).

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

1105000000 is an frugal number, since it uses more digits than its factorization.

1105000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 1105000000 is about 33241.5402771893. The cubic root of 1105000000 is about 1033.8418124145.

Adding to 1105000000 its reverse (5011), we get a palindrome (1105005011).

The spelling of 1105000000 in words is "one billion, one hundred five million", and thus it is an aban number.