Search a number
-
+
221122222200201 = 3722089866983063
BaseRepresentation
bin110010010001110000000111…
…100000011001010110001001
31001222221002002212011001210210
4302101300013200121112021
5212440331302340401301
62102142051352031333
764401360541551600
oct6221600740312611
91058832085131723
10221122222200201
1164502453873293
1220972b74992549
13964c97522ab6a
143c8653080aa37
151a86d6a796ad6
hexc91c07819589

221122222200201 has 48 divisors (see below), whose sum is σ = 343172968617600. Its totient is φ = 126278980515072.

The previous prime is 221122222200137. The next prime is 221122222200379. The reversal of 221122222200201 is 102002222221122.

It is not a de Polignac number, because 221122222200201 - 26 = 221122222200137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (221122222205201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2662060996 + ... + 2662144058.

It is an arithmetic number, because the mean of its divisors is an integer number (7149436846200).

Almost surely, 2221122222200201 is an apocalyptic number.

221122222200201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221122222200201 is a deficient number, since it is larger than the sum of its proper divisors (122050746417399).

221122222200201 is a wasteful number, since it uses less digits than its factorization.

221122222200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93838 (or 93831 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 221122222200201 its reverse (102002222221122), we get a palindrome (323124444421323).

The spelling of 221122222200201 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred thousand, two hundred one".

Divisors: 1 3 7 21 49 147 2089 6267 8669 14623 26007 43869 60683 83063 102361 182049 249189 307083 424781 581441 1274343 1744323 4070087 12210261 18109541 54328623 126766787 173518607 380300361 520555821 720073147 887367509 1214630249 2160219441 2662102527 3643890747 5040512029 8502411743 15121536087 25507235229 35283584203 105850752609 1504232804083 4512698412249 10529629628581 31588888885743 73707407400067 221122222200201