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110040522000 = 2435379232153
BaseRepresentation
bin110011001111011101…
…1010001110100010000
3101112000220122201002220
41212132323101310100
53300330333201000
6122315114141040
710643623001253
oct1463673216420
9345026581086
10110040522000
1142739007972
12193b0421780
13a4b8a17216
14547c73109a
152ce094e1a0
hex199eed1d10

110040522000 has 160 divisors (see below), whose sum is σ = 359262958080. Its totient is φ = 28972569600.

The previous prime is 110040521959. The next prime is 110040522023. The reversal of 110040522000 is 225040011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357924 + ... + 590076.

It is an arithmetic number, because the mean of its divisors is an integer number (2245393488).

Almost surely, 2110040522000 is an apocalyptic number.

110040522000 is a gapful number since it is divisible by the number (10) 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 110040522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179631479040).

110040522000 is an abundant number, since it is smaller than the sum of its proper divisors (249222436080).

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

110040522000 is a wasteful number, since it uses less digits than its factorization.

110040522000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232258 (or 232242 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 110040522000 its reverse (225040011), we get a palindrome (110265562011).

The spelling of 110040522000 in words is "one hundred ten billion, forty million, five hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 79 80 100 120 125 150 158 200 237 240 250 300 316 375 395 400 474 500 600 632 750 790 948 1000 1185 1200 1264 1500 1580 1896 1975 2000 2370 3000 3160 3792 3950 4740 5925 6000 6320 7900 9480 9875 11850 15800 18960 19750 23700 29625 31600 39500 47400 59250 79000 94800 118500 158000 232153 237000 464306 474000 696459 928612 1160765 1392918 1857224 2321530 2785836 3482295 3714448 4643060 5571672 5803825 6964590 9286120 11143344 11607650 13929180 17411475 18340087 18572240 23215300 27858360 29019125 34822950 36680174 46430600 55020261 55716720 58038250 69645900 73360348 87057375 91700435 92861200 110040522 116076500 139291800 146720696 174114750 183400870 220081044 232153000 275101305 278583600 293441392 348229500 366801740 440162088 458502175 464306000 550202610 696459000 733603480 880324176 917004350 1100405220 1375506525 1392918000 1467206960 1834008700 2200810440 2292510875 2751013050 3668017400 4401620880 4585021750 5502026100 6877532625 7336034800 9170043500 11004052200 13755065250 18340087000 22008104400 27510130500 36680174000 55020261000 110040522000