Search a number
-
+
11233200000000 = 210358112337
BaseRepresentation
bin1010001101110110111011…
…1001010100110000000000
31110202212212000121002221110
42203131232321110300000
52433021043200000000
635520243312523320
72236400111366256
oct243355671246000
943685760532843
1011233200000000
113640a78607540
12131509bb50540
13636394a76b34
142ab992a8a5d6
15147304655850
hexa376ee54c00

11233200000000 has 1584 divisors, whose sum is σ = 43754602597632. Its totient is φ = 2534400000000.

The previous prime is 11233199999969. The next prime is 11233200000017. The reversal of 11233200000000 is 233211.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 303599999982 + ... + 303600000018.

Almost surely, 211233200000000 is an apocalyptic number.

11233200000000 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 11233200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21877301298816).

11233200000000 is an abundant number, since it is smaller than the sum of its proper divisors (32521402597632).

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

11233200000000 is an frugal number, since it uses more digits than its factorization.

11233200000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11233200000000 its reverse (233211), we get a palindrome (11233200233211).

The spelling of 11233200000000 in words is "eleven trillion, two hundred thirty-three billion, two hundred million", and thus it is an aban number.