Search a number
-
+
110211212121012 = 22323782741150241
BaseRepresentation
bin11001000011110010001100…
…001001100001001110110100
3112110020002101212102020011200
4121003302030021201032310
5103421200030300333022
61030222155404332500
732133332402106162
oct3103621411411664
9473202355366150
10110211212121012
1132131349050902
121043b807b44130
134965b46457362
141d3037314c232
15cb1ca7176bac
hex643c8c2613b4

110211212121012 has 36 divisors (see below), whose sum is σ = 286118897536836. Its totient is φ = 35744176903680.

The previous prime is 110211212120959. The next prime is 110211212121037. The reversal of 110211212121012 is 210121212112011.

It is a happy number.

110211212121012 is a `hidden beast` number, since 110 + 211 + 2 + 121 + 210 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62293860881316 + 47917351239696 = 7892646^2 + 6922236^2 .

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

It is a super-2 number, since 2×1102112121210122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 41370573789 + ... + 41370576452.

It is an arithmetic number, because the mean of its divisors is an integer number (7947747153801).

Almost surely, 2110211212121012 is an apocalyptic number.

110211212121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110211212121012 is an abundant number, since it is smaller than the sum of its proper divisors (175907685415824).

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

110211212121012 is a wasteful number, since it uses less digits than its factorization.

110211212121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82741150288 (or 82741150283 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 110211212121012 its reverse (210121212112011), we get a palindrome (320332424233023).

Subtracting 110211212121012 from its reverse (210121212112011), we obtain a palindrome (99909999990999).

The spelling of 110211212121012 in words is "one hundred ten trillion, two hundred eleven billion, two hundred twelve million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 82741150241 165482300482 248223450723 330964600964 496446901446 744670352169 992893802892 1489340704338 2978681408676 3061422558917 6122845117834 9184267676751 12245690235668 18368535353502 27552803030253 36737070707004 55105606060506 110211212121012