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110110101012 = 22323782665241
BaseRepresentation
bin110011010001100010…
…0101100111000010100
3101112012202120200120100
41212203010230320110
53301001141213022
6122330041334100
710645426262442
oct1464304547024
9345182520510
10110110101012
114277431068a
121940b797330
13a4ca269232
145487a83b92
152ce6ae51ac
hex19a312ce14

110110101012 has 36 divisors (see below), whose sum is σ = 285856406836. Its totient is φ = 35711383680.

The previous prime is 110110100999. The next prime is 110110101037. The reversal of 110110101012 is 210101011011.

It can be written as a sum of positive squares in 2 ways, for example, as 49847706756 + 60262394256 = 223266^2 + 245484^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110110100985 and 110110101003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41331289 + ... + 41333952.

Almost surely, 2110110101012 is an apocalyptic number.

110110101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110110101012 is an abundant number, since it is smaller than the sum of its proper divisors (175746305824).

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

110110101012 is a wasteful number, since it uses less digits than its factorization.

110110101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82665288 (or 82665283 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110110101012 its reverse (210101011011), we get a palindrome (320211112023).

Subtracting 110110101012 from its reverse (210101011011), we obtain a palindrome (99990909999).

The spelling of 110110101012 in words is "one hundred ten billion, one hundred ten million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 82665241 165330482 247995723 330660964 495991446 743987169 991982892 1487974338 2975948676 3058613917 6117227834 9175841751 12234455668 18351683502 27527525253 36703367004 55055050506 110110101012