Search a number
-
+
2110011200 = 2652111011187
BaseRepresentation
bin111110111000100…
…0011011101000000
312110001100200012222
41331301003131000
513310130324300
6545212510212
7103200541103
oct17561033500
95401320188
102110011200
11993056710
124aa77b368
132781b484b
1416033473a
15c5393785
hex7dc43740

2110011200 has 168 divisors, whose sum is σ = 5724838944. Its totient is φ = 759040000.

The previous prime is 2110011179. The next prime is 2110011223. The reversal of 2110011200 is 21100112.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1777007 + ... + 1778193.

Almost surely, 22110011200 is an apocalyptic number.

2110011200 is a gapful number since it is divisible by the number (20) 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 2110011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862419472).

2110011200 is an abundant number, since it is smaller than the sum of its proper divisors (3614827744).

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

2110011200 is a wasteful number, since it uses less digits than its factorization.

2110011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2110011200 is about 45934.8582233580. The cubic root of 2110011200 is about 1282.6108817669.

Adding to 2110011200 its reverse (21100112), we get a palindrome (2131111312).

2110011200 divided by its reverse (21100112) gives a square (100 = 102).

The spelling of 2110011200 in words is "two billion, one hundred ten million, eleven thousand, two hundred".