Search a number
-
+
11331032232000 = 263531322793647
BaseRepresentation
bin1010010011100011011000…
…1001101011000001000000
31111010020101010012102112110
42210320312021223001000
52441121423222411000
640033223201055320
72246432353551405
oct244706611530100
944106333172473
1011331032232000
113679511328438
121330043927540
1364268642bb00
142b25d3c602ac
15149b2d3dd850
hexa4e3626b040

11331032232000 has 336 divisors, whose sum is σ = 40514556056832. Its totient is φ = 2789176166400.

The previous prime is 11331032231999. The next prime is 11331032232067. The reversal of 11331032232000 is 23223013311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2659177 + ... + 5452823.

Almost surely, 211331032232000 is an apocalyptic number.

11331032232000 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 11331032232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20257278028416).

11331032232000 is an abundant number, since it is smaller than the sum of its proper divisors (29183523824832).

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

11331032232000 is a wasteful number, since it uses less digits than its factorization.

11331032232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793703 (or 2793670 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 11331032232000 its reverse (23223013311), we get a palindrome (11354255245311).

The spelling of 11331032232000 in words is "eleven trillion, three hundred thirty-one billion, thirty-two million, two hundred thirty-two thousand".