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11120333324324 = 22717591181335281
BaseRepresentation
bin1010000111010010011110…
…0001001000000000100100
31110101002112011000220211012
42201310213201020000210
52424143420312334244
635352335520201352
72225263140440630
oct241644741100044
943332464026735
1011120333324324
1135a811a289584
1212b7241169258
136288486a6343
142a6326c87dc0
151443eaa5289e
hexa1d27848024

11120333324324 has 96 divisors (see below), whose sum is σ = 23968425035520. Its totient is φ = 4405740134400.

The previous prime is 11120333324323. The next prime is 11120333324369. The reversal of 11120333324324 is 42342333302111.

It is not an unprimeable number, because it can be changed into a prime (11120333324323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32999564 + ... + 33334844.

It is an arithmetic number, because the mean of its divisors is an integer number (249671094120).

Almost surely, 211120333324324 is an apocalyptic number.

11120333324324 is a gapful number since it is divisible by the number (14) 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 11120333324324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11984212517760).

11120333324324 is an abundant number, since it is smaller than the sum of its proper divisors (12848091711196).

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

11120333324324 is a wasteful number, since it uses less digits than its factorization.

11120333324324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336549 (or 336547 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 11120333324324 its reverse (42342333302111), we get a palindrome (53462666626435).

The spelling of 11120333324324 in words is "eleven trillion, one hundred twenty billion, three hundred thirty-three million, three hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 34 59 68 118 119 236 238 413 476 826 1003 1181 1652 2006 2362 4012 4724 7021 8267 14042 16534 20077 28084 33068 40154 69679 80308 139358 140539 278716 281078 335281 487753 562156 670562 975506 1184543 1341124 1951012 2346967 2369086 4693934 4738172 5699777 8291801 9387868 11399554 16583602 19781579 22799108 33167204 39563158 39898439 79126316 79796878 138471053 159593756 276942106 336286843 395966861 553884212 672573686 791933722 1345147372 1583867444 2354007901 2771768027 4708015802 5543536054 6731436637 9416031604 11087072108 13462873274 23362044799 26925746548 46724089598 47120056459 93448179196 94240112918 163534313593 188480225836 327068627186 397154761583 654137254372 794309523166 1588619046332 2780083331081 5560166662162 11120333324324