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14110224100 = 22527832111151
BaseRepresentation
bin11010010010000100…
…01110111011100100
31100102100212122121121
431021002032323210
5212344204132400
610252051023324
71006443632410
oct151102167344
940370778547
1014110224100
115a90943235
12289959ab44
13143b3c223b
1497bda9d40
15578b5721a
hex34908eee4

14110224100 has 144 divisors (see below), whose sum is σ = 35613720576. Its totient is φ = 4752720000.

The previous prime is 14110224083. The next prime is 14110224113. The reversal of 14110224100 is 142201141.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12258525 + ... + 12259675.

It is an arithmetic number, because the mean of its divisors is an integer number (247317504).

Almost surely, 214110224100 is an apocalyptic number.

14110224100 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 14110224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17806860288).

14110224100 is an abundant number, since it is smaller than the sum of its proper divisors (21503496476).

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

14110224100 is a wasteful number, since it uses less digits than its factorization.

14110224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 14110224100 its reverse (142201141), we get a palindrome (14252425241).

The spelling of 14110224100 in words is "fourteen billion, one hundred ten million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 83 100 140 166 175 211 332 350 415 422 581 700 830 844 1055 1151 1162 1477 1660 2075 2110 2302 2324 2905 2954 4150 4220 4604 5275 5755 5810 5908 7385 8057 8300 10550 11510 11620 14525 14770 16114 17513 21100 23020 28775 29050 29540 32228 35026 36925 40285 57550 58100 70052 73850 80570 87565 95533 115100 122591 147700 161140 175130 191066 201425 242861 245182 350260 382132 402850 437825 477665 485722 490364 612955 668731 805700 875650 955330 971444 1214305 1225910 1337462 1700027 1751300 1910660 2388325 2428610 2451820 2674924 3064775 3343655 3400054 4776650 4857220 6071525 6129550 6687310 6800108 8500135 9553300 12143050 12259100 13374620 16718275 17000270 20157463 24286100 33436550 34000540 40314926 42500675 66873100 80629852 85001350 100787315 141102241 170002700 201574630 282204482 403149260 503936575 564408964 705511205 1007873150 1411022410 2015746300 2822044820 3527556025 7055112050 14110224100