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11121332101032 = 233472354759141
BaseRepresentation
bin1010000111010110001100…
…0011001001111110101000
31110101012002202102000220010
42201311203003021332220
52424202442004213112
635353022555331520
72225326656055236
oct241654303117650
943335082360803
1011121332101032
1135a859204727a
1212b747b750ba0
136289775a578a
142a63bd797956
1514445859163c
hexa1d630c9fa8

11121332101032 has 96 divisors (see below), whose sum is σ = 28415966202720. Its totient is φ = 3627151770240.

The previous prime is 11121332101013. The next prime is 11121332101039. The reversal of 11121332101032 is 23010123312111.

It is not an unprimeable number, because it can be changed into a prime (11121332101039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188018182 + ... + 188077322.

It is an arithmetic number, because the mean of its divisors is an integer number (295999647945).

Almost surely, 211121332101032 is an apocalyptic number.

11121332101032 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 11121332101032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14207983101360).

11121332101032 is an abundant number, since it is smaller than the sum of its proper divisors (17294634101688).

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

11121332101032 is a wasteful number, since it uses less digits than its factorization.

11121332101032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62791 (or 62740 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 11121332101032 its reverse (23010123312111), we get a palindrome (34131455413143).

The spelling of 11121332101032 in words is "eleven trillion, one hundred twenty-one billion, three hundred thirty-two million, one hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 2209 3547 4418 6627 7094 8836 10641 13254 14188 17672 21282 26508 28376 42564 53016 59141 85128 118282 166709 177423 236564 333418 354846 473128 500127 666836 709692 1000254 1333672 1419384 2000508 2779627 4001016 5559254 7835323 8338881 11118508 15670646 16677762 22237016 23505969 31341292 33355524 47011938 62682584 66711048 94023876 130642469 188047752 209773127 261284938 391927407 419546254 522569876 629319381 783854814 839092508 1045139752 1258638762 1567709628 1678185016 2517277524 3135419256 5034555048 9859336969 19718673938 29578010907 39437347876 59156021814 78874695752 118312043628 236624087256 463388837543 926777675086 1390166512629 1853555350172 2780333025258 3707110700344 5560666050516 11121332101032