Search a number
-
+
11103132000 = 253531019161
BaseRepresentation
bin10100101011100110…
…00101100101100000
31001122210111112202010
422111303011211200
5140214400211000
65033430352520
7542101031142
oct122563054540
931583445663
1011103132000
114788479454
12219a4bb740
13107c3c68bc
14774878c92
1544eb61d50
hex295cc5960

11103132000 has 192 divisors, whose sum is σ = 36738007488. Its totient is φ = 2931200000.

The previous prime is 11103131999. The next prime is 11103132133. The reversal of 11103132000 is 23130111.

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, 1207420 + ... + 1216580.

It is an arithmetic number, because the mean of its divisors is an integer number (191343789).

Almost surely, 211103132000 is an apocalyptic number.

11103132000 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 11103132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18369003744).

11103132000 is an abundant number, since it is smaller than the sum of its proper divisors (25634875488).

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

11103132000 is a wasteful number, since it uses less digits than its factorization.

11103132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9290 (or 9272 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11103132000 its reverse (23130111), we get a palindrome (11126262111).

The spelling of 11103132000 in words is "eleven billion, one hundred three million, one hundred thirty-two thousand".