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11110122032 = 242353712113
BaseRepresentation
bin10100101100011011…
…10000001000110000
31001200021122200021012
422112031300020300
5140223142401112
65034240250052
7542214323222
oct122615601060
931607580235
1011110122032
114791413139
1221a0910928
1310809a3409
14775778412
15450593022
hex296370230

11110122032 has 120 divisors (see below), whose sum is σ = 23417867232. Its totient is φ = 5094369280.

The previous prime is 11110122011. The next prime is 11110122043. The reversal of 11110122032 is 23022101111.

It is a junction number, because it is equal to n+sod(n) for n = 11110121998 and 11110122016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98319608 + ... + 98319720.

Almost surely, 211110122032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11110122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11708933616).

11110122032 is an abundant number, since it is smaller than the sum of its proper divisors (12307745200).

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

11110122032 is a wasteful number, since it uses less digits than its factorization.

11110122032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11110122032 its reverse (23022101111), we get a palindrome (34132223143).

The spelling of 11110122032 in words is "eleven billion, one hundred ten million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 23 46 53 71 92 106 113 142 184 212 226 284 368 424 452 568 848 904 1136 1219 1633 1808 2438 2599 3266 3763 4876 5041 5198 5989 6532 7526 8023 9752 10082 10396 11978 13064 15052 16046 19504 20164 20792 23956 26128 30104 32092 40328 41584 47912 60208 64184 80656 86549 95824 115943 128368 137747 173098 184529 231886 267173 275494 346196 369058 425219 463772 534346 550988 569633 692392 738116 850438 927544 1068692 1101976 1139266 1384784 1476232 1700876 1855088 2137384 2203952 2278532 2952464 3401752 4274768 4557064 6144979 6803504 9114128 9780037 12289958 13101559 19560074 24579916 26203118 30190549 39120148 49159832 52406236 60381098 78240296 98319664 104812472 120762196 156480592 209624944 241524392 483048784 694382627 1388765254 2777530508 5555061016 11110122032