Search a number
-
+
110211132000 = 2535333727253
BaseRepresentation
bin110011010100100011…
…0000110101001100000
3101112110210200121000210
41212221012012221200
53301203022211000
6122344051014120
710651064110434
oct1465106065140
9345423617023
10110211132000
1142816346772
121943959a340
13a515181098
1454972629c4
152d00900350
hex19a9186a60

110211132000 has 192 divisors, whose sum is σ = 362136325824. Its totient is φ = 29301350400.

The previous prime is 110211131999. The next prime is 110211132011. The reversal of 110211132000 is 231112011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4030374 + ... + 4057626.

It is an arithmetic number, because the mean of its divisors is an integer number (1886126697).

Almost surely, 2110211132000 is an apocalyptic number.

110211132000 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 110211132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181068162912).

110211132000 is an abundant number, since it is smaller than the sum of its proper divisors (251925193824).

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

110211132000 is a wasteful number, since it uses less digits than its factorization.

110211132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27618 (or 27600 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 110211132000 its reverse (231112011), we get a palindrome (110442244011).

The spelling of 110211132000 in words is "one hundred ten billion, two hundred eleven million, one hundred thirty-two thousand".