Search a number
-
+
221011323021 = 32671019074001
BaseRepresentation
bin1100110111010101001…
…1010010100010001101
3210010110122210111010100
43031311103102202031
512110112344314041
6245310423401313
721652603151346
oct3156523224215
9703418714110
10221011323021
1185804148175
1236a002b3239
1317ac2399aa8
14a9a88210cd
155b37dab6b6
hex33754d288d

221011323021 has 48 divisors (see below), whose sum is σ = 327653921088. Its totient is φ = 143510400000.

The previous prime is 221011323019. The next prime is 221011323041. The reversal of 221011323021 is 120323110122.

221011323021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221011323021 - 21 = 221011323019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221011322985 and 221011323003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221011323041) 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, 55237021 + ... + 55241021.

It is an arithmetic number, because the mean of its divisors is an integer number (6826123356).

Almost surely, 2221011323021 is an apocalyptic number.

It is an amenable number.

221011323021 is a deficient number, since it is larger than the sum of its proper divisors (106642598067).

221011323021 is a wasteful number, since it uses less digits than its factorization.

221011323021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5082 (or 5079 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221011323021 its reverse (120323110122), we get a palindrome (341334433143).

The spelling of 221011323021 in words is "two hundred twenty-one billion, eleven million, three hundred twenty-three thousand, twenty-one".

Divisors: 1 3 9 67 101 201 303 603 907 909 2721 4001 6767 8163 12003 20301 36009 60769 60903 91607 182307 268067 274821 404101 546921 804201 824463 1212303 2412603 3628907 3636909 6137669 10886721 18413007 27074767 32660163 55239021 81224301 243136769 243672903 366519607 729410307 1099558821 2188230921 3298676463 24556813669 73670441007 221011323021