Search a number
-
+
1105110000 = 2433544093
BaseRepresentation
bin100000111011110…
…1010001111110000
32212000110101221000
41001313222033300
54230402010000
6301354202000
736246165021
oct10167521760
92760411830
101105110000
11517895555
1226a123300
13147c4c857
14a6aacc48
1567045000
hex41dea3f0

1105110000 has 200 divisors, whose sum is σ = 3964793360. Its totient is φ = 294624000.

The previous prime is 1105109953. The next prime is 1105110011. The reversal of 1105110000 is 115011.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×11051100002 = 2442536224200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 267954 + ... + 272046.

Almost surely, 21105110000 is an apocalyptic number.

1105110000 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 1105110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982396680).

1105110000 is an abundant number, since it is smaller than the sum of its proper divisors (2859683360).

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

1105110000 is an equidigital number, since it uses as much as digits as its factorization.

1105110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4130 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 1105110000 is about 33243.1947923180. The cubic root of 1105110000 is about 1033.8761167361.

Adding to 1105110000 its reverse (115011), we get a palindrome (1105225011).

The spelling of 1105110000 in words is "one billion, one hundred five million, one hundred ten thousand".