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11132013404232 = 233271719157435553
BaseRepresentation
bin1010000111111101111110…
…1101000110000001001000
31110102012200011011110022100
42201333133231012001020
52424341330412413412
635401550520553400
72226155445461010
oct241773755060110
943365604143270
1011132013404232
1136020733a0486
1212b9560922860
1362998a487126
142a6b141c8c40
1514488117bedc
hexa1fdfb46048

11132013404232 has 384 divisors, whose sum is σ = 38647925971200. Its totient is φ = 2817861156864.

The previous prime is 11132013404231. The next prime is 11132013404353. The reversal of 11132013404232 is 23240431023111.

11132013404232 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 20 + 1 + 3 + 404 + 232 = 666.

11132013404232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11132013404196 and 11132013404205.

It is not an unprimeable number, because it can be changed into a prime (11132013404231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25340568 + ... + 25776120.

It is an arithmetic number, because the mean of its divisors is an integer number (100645640550).

Almost surely, 211132013404232 is an apocalyptic number.

11132013404232 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 11132013404232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19323962985600).

11132013404232 is an abundant number, since it is smaller than the sum of its proper divisors (27515912566968).

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

11132013404232 is a wasteful number, since it uses less digits than its factorization.

11132013404232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435765 (or 435758 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 11132013404232 its reverse (23240431023111), we get a palindrome (34372444427343).

The spelling of 11132013404232 in words is "eleven trillion, one hundred thirty-two billion, thirteen million, four hundred four thousand, two hundred thirty-two".