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110041424112 = 243234710332053
BaseRepresentation
bin110011001111011111…
…0101110000011110000
3101112000222100112120110
41212132332232003300
53300331101032422
6122315145341320
710643633446314
oct1463676560360
9345028315513
10110041424112
1142739573714
12193b0797840
13a4b8c71a09
14547c8c7b44
152ce0a7b60c
hex199efae0f0

110041424112 has 160 divisors (see below), whose sum is σ = 303385724928. Its totient is φ = 34289215488.

The previous prime is 110041424063. The next prime is 110041424113. The reversal of 110041424112 is 211424140011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110041424113) 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, 53599278 + ... + 53601330.

Almost surely, 2110041424112 is an apocalyptic number.

110041424112 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 110041424112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151692862464).

110041424112 is an abundant number, since it is smaller than the sum of its proper divisors (193344300816).

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

110041424112 is a wasteful number, since it uses less digits than its factorization.

110041424112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 110041424112 its reverse (211424140011), we get a palindrome (321465564123).

The spelling of 110041424112 in words is "one hundred ten billion, forty-one million, four hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 47 48 69 92 94 138 141 184 188 276 282 368 376 552 564 752 1033 1081 1104 1128 2053 2066 2162 2256 3099 3243 4106 4132 4324 6159 6198 6486 8212 8264 8648 12318 12396 12972 16424 16528 17296 23759 24636 24792 25944 32848 47219 47518 48551 49272 49584 51888 71277 94438 95036 96491 97102 98544 141657 142554 145653 188876 190072 192982 194204 283314 285108 289473 291306 377752 380144 385964 388408 566628 570216 578946 582612 755504 771928 776816 1116673 1133256 1140432 1157892 1165224 1543856 2120749 2219293 2233346 2266512 2315784 2330448 3350019 4241498 4438586 4466692 4631568 6362247 6657879 6700038 8482996 8877172 8933384 12724494 13315758 13400076 16965992 17754344 17866768 25448988 26631516 26800152 33931984 35508688 48777227 50897976 53263032 53600304 97554454 99675203 101795952 106526064 146331681 195108908 199350406 292663362 299025609 390217816 398700812 585326724 598051218 780435632 797401624 1170653448 1196102436 1594803248 2292529669 2341306896 2392204872 4585059338 4784409744 6877589007 9170118676 13755178014 18340237352 27510356028 36680474704 55020712056 110041424112