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110110112010 = 232511310826953
BaseRepresentation
bin110011010001100010…
…0101111100100001010
3101112012202121020122200
41212203010233210022
53301001142041020
6122330041501030
710645426336503
oct1464304574412
9345182536580
10110110112010
1142774318978
121940b7a1776
13a4ca271242
145487a87baa
152ce6ae8590
hex19a312f90a

110110112010 has 48 divisors (see below), whose sum is σ = 288819824904. Its totient is φ = 29102846976.

The previous prime is 110110111961. The next prime is 110110112011. The reversal of 110110112010 is 10211011011.

It can be written as a sum of positive squares in 4 ways, for example, as 83257062849 + 26853049161 = 288543^2 + 163869^2 .

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 = 110110111983 and 110110112001.

It is not an unprimeable number, because it can be changed into a prime (110110112011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5403307 + ... + 5423646.

Almost surely, 2110110112010 is an apocalyptic number.

110110112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110110112010 is an abundant number, since it is smaller than the sum of its proper divisors (178709712894).

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

110110112010 is a wasteful number, since it uses less digits than its factorization.

110110112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10827079 (or 10827076 counting only the distinct ones).

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

Adding to 110110112010 its reverse (10211011011), we get a palindrome (120321123021).

It can be divided in two parts, 1101101 and 12010, that added together give a palindrome (1113111).

The spelling of 110110112010 in words is "one hundred ten billion, one hundred ten million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1017 1130 1695 2034 3390 5085 10170 10826953 21653906 32480859 54134765 64961718 97442577 108269530 162404295 194885154 324808590 487212885 974425770 1223445689 2446891378 3670337067 6117228445 7340674134 11011011201 12234456890 18351685335 22022022402 36703370670 55055056005 110110112010