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110212120011221 = 174723737868209
BaseRepresentation
bin11001000011110011000010…
…010000110110000111010101
3112110020011202010202211101222
4121003303002100312013111
5103421203410210324341
61030222425435500125
732133364035046334
oct3103630220660725
9473204663684358
10110212120011221
1132131774582198
121043ba1bbb7645
134965c5c5841b7
141d3041b95dd1b
15cb1d0bc1144b
hex643cc24361d5

110212120011221 has 24 divisors (see below), whose sum is σ = 119550558398040. Its totient is φ = 101249863022592.

The previous prime is 110212120011173. The next prime is 110212120011241. The reversal of 110212120011221 is 122110021212011.

It can be written as a sum of positive squares in 4 ways, for example, as 7828300368100 + 102383819643121 = 2797910^2 + 10118489^2 .

It is not a de Polignac number, because 110212120011221 - 218 = 110212119749077 is a prime.

It is a super-2 number, since 2×1102121200112212 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 110212120011221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110212120011241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10073165 + ... + 17941373.

It is an arithmetic number, because the mean of its divisors is an integer number (4981273266585).

Almost surely, 2110212120011221 is an apocalyptic number.

It is an amenable number.

110212120011221 is a deficient number, since it is larger than the sum of its proper divisors (9338438386819).

110212120011221 is an equidigital number, since it uses as much as digits as its factorization.

110212120011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7868693 (or 7868646 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 110212120011221 its reverse (122110021212011), we get a palindrome (232322141223232).

The spelling of 110212120011221 in words is "one hundred ten trillion, two hundred twelve billion, one hundred twenty million, eleven thousand, two hundred twenty-one".

Divisors: 1 17 47 373 799 2209 6341 17531 37553 298027 823957 7868209 14007269 133759553 369805823 2934841957 6286698991 17380873681 49892313269 137937571979 295474852577 2344938723643 6483065883013 110212120011221