Search a number
-
+
11132102332200 = 23352372232248637
BaseRepresentation
bin1010000111111110010100…
…0000010100111100101000
31110102012220100111110112210
42201333211000110330220
52424342021144112300
635402003415005120
72226160605400143
oct241774500247450
943365810443483
1011132102332200
11360210960a373
1212b95866697a0
136299a2a22125
142a6b21d3705a
15144888d96050
hexa1fe5014f28

11132102332200 has 192 divisors, whose sum is σ = 35601156380160. Its totient is φ = 2875375825920.

The previous prime is 11132102332139. The next prime is 11132102332289. The reversal of 11132102332200 is 223320123111.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3826282 + ... + 6074918.

It is an arithmetic number, because the mean of its divisors is an integer number (185422689480).

Almost surely, 211132102332200 is an apocalyptic number.

11132102332200 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 11132102332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17800578190080).

11132102332200 is an abundant number, since it is smaller than the sum of its proper divisors (24469054047960).

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

11132102332200 is a wasteful number, since it uses less digits than its factorization.

11132102332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248916 (or 2248907 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11132102332200 its reverse (223320123111), we get a palindrome (11355422455311).

The spelling of 11132102332200 in words is "eleven trillion, one hundred thirty-two billion, one hundred two million, three hundred thirty-two thousand, two hundred".