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11121033132 = 22331118151719
BaseRepresentation
bin10100101101101110…
…10111111110101100
31001201001012000111000
422112313113332230
5140233441030012
65035310200300
7542406136056
oct122667277654
931631160430
1011121033132
114797595880
1221a44b3090
1310830238a1
14776db88d6
154514eaddc
hex296dd7fac

11121033132 has 96 divisors (see below), whose sum is σ = 31627814400. Its totient is φ = 3351326400.

The previous prime is 11121033101. The next prime is 11121033229. The reversal of 11121033132 is 23133012111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189169 + ... + 240887.

It is an arithmetic number, because the mean of its divisors is an integer number (329456400).

Almost surely, 211121033132 is an apocalyptic number.

11121033132 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 11121033132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15813907200).

11121033132 is an abundant number, since it is smaller than the sum of its proper divisors (20506781268).

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

11121033132 is a wasteful number, since it uses less digits than its factorization.

11121033132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51924 (or 51916 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11121033132 its reverse (23133012111), we get a palindrome (34254045243).

The spelling of 11121033132 in words is "eleven billion, one hundred twenty-one million, thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 181 198 297 362 396 543 594 724 1086 1188 1629 1991 2172 3258 3982 4887 5973 6516 7964 9774 11946 17919 19548 23892 35838 51719 53757 71676 103438 107514 155157 206876 215028 310314 465471 568909 620628 930942 1137818 1396413 1706727 1861884 2275636 2792826 3413454 5120181 5585652 6826908 9361139 10240362 15360543 18722278 20480724 28083417 30721086 37444556 56166834 61442172 84250251 102972529 112333668 168500502 205945058 252750753 308917587 337001004 411890116 505501506 617835174 926752761 1011003012 1235670348 1853505522 2780258283 3707011044 5560516566 11121033132