Search a number
-
+
11033330330232 = 233271921033971483
BaseRepresentation
bin1010000010001110010110…
…1111000010101001111000
31110001202221202112212220200
42200203211233002221320
52421232230031031412
635244350400122200
72216063132256630
oct240434557025170
943052852485820
1011033330330232
113574233373381
1212a2400006360
1362059175a852
142a20320136c0
151420078779dc
hexa08e5bc2a78

11033330330232 has 576 divisors, whose sum is σ = 36508995694080. Its totient is φ = 2948031770112.

The previous prime is 11033330330219. The next prime is 11033330330237. The reversal of 11033330330232 is 23203303333011.

11033330330232 is a `hidden beast` number, since 1 + 1 + 0 + 333 + 303 + 3 + 0 + 23 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11033330330196 and 11033330330205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11033330330237) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7439871363 + ... + 7439872845.

It is an arithmetic number, because the mean of its divisors is an integer number (63383673080).

Almost surely, 211033330330232 is an apocalyptic number.

11033330330232 is a gapful number since it is divisible by the number (12) 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 11033330330232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18254497847040).

11033330330232 is an abundant number, since it is smaller than the sum of its proper divisors (25475665363848).

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

11033330330232 is a wasteful number, since it uses less digits than its factorization.

11033330330232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 11033330330232 its reverse (23203303333011), we get a palindrome (34236633663243).

The spelling of 11033330330232 in words is "eleven trillion, thirty-three billion, three hundred thirty million, three hundred thirty thousand, two hundred thirty-two".