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110010000012 = 2231141197103183
BaseRepresentation
bin110011001110100011…
…0110110001010001100
3101111221210020000210220
41212131012312022030
53300300030000022
6122312104031340
710643102400003
oct1463506661214
9344853200726
10110010000012
1142722860290
12193a2162550
13a4b25bb783
145478667c3a
152cdce2085c
hex199d1b628c

110010000012 has 96 divisors (see below), whose sum is σ = 288314256384. Its totient is φ = 32357875200.

The previous prime is 110009999969. The next prime is 110010000029. The reversal of 110010000012 is 210000010011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1014573 + ... + 1117755.

It is an arithmetic number, because the mean of its divisors is an integer number (3003273504).

Almost surely, 2110010000012 is an apocalyptic number.

110010000012 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 110010000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144157128192).

110010000012 is an abundant number, since it is smaller than the sum of its proper divisors (178304256372).

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

110010000012 is a wasteful number, since it uses less digits than its factorization.

110010000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103439 (or 103437 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 110010000012 its reverse (210000010011), we get a palindrome (320010010023).

Subtracting 110010000012 from its reverse (210000010011), we obtain a palindrome (99990009999).

The spelling of 110010000012 in words is "one hundred ten billion, ten million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 197 246 394 451 492 591 788 902 1182 1353 1804 2167 2364 2706 4334 5412 6501 8077 8668 13002 16154 24231 26004 32308 48462 88847 96924 103183 177694 206366 266541 309549 355388 412732 533082 619098 1066164 1135013 1238196 2270026 3405039 4230503 4540052 6810078 8461006 12691509 13620156 16922012 20327051 25383018 40654102 46535533 50766036 60981153 81308204 93071066 121962306 139606599 186142132 223597561 243924612 279213198 447195122 558426396 670792683 833409091 894390244 1341585366 1666818182 2500227273 2683170732 3333636364 5000454546 9167500001 10000909092 18335000002 27502500003 36670000004 55005000006 110010000012