Search a number
-
+
202021202022021 = 3241910096015701
BaseRepresentation
bin101101111011110010111001…
…111110111100111010000101
3222111022001000220211020000100
4231323302321332330322011
5202434403410204201041
61553355131535234313
760360356500116054
oct5573627176747205
9874261026736010
10202021202022021
115940878a950088
121a7a908b978999
13889569624c7c5
1437c5c4229439b
15185507d5c26b6
hexb7bcb9fbce85

202021202022021 has 24 divisors (see below), whose sum is σ = 298929015304920. Its totient is φ = 131394438144000.

The previous prime is 202021202021999. The next prime is 202021202022121. The reversal of 202021202022021 is 120220202120202.

202021202022021 is a `hidden beast` number, since 20 + 202 + 1 + 202 + 0 + 220 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3799750997025 + 198221451024996 = 1949295^2 + 14079114^2 .

It is not a de Polignac number, because 202021202022021 - 222 = 202021197827717 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 202021202021985 and 202021202022003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202021202022121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30574471 + ... + 36590171.

It is an arithmetic number, because the mean of its divisors is an integer number (12455375637705).

Almost surely, 2202021202022021 is an apocalyptic number.

It is an amenable number.

202021202022021 is a deficient number, since it is larger than the sum of its proper divisors (96907813282899).

202021202022021 is a wasteful number, since it uses less digits than its factorization.

202021202022021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6106757 (or 6106754 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 202021202022021 its reverse (120220202120202), we get a palindrome (322241404142223).

The spelling of 202021202022021 in words is "two hundred two trillion, twenty-one billion, two hundred two million, twenty-two thousand, twenty-one".

Divisors: 1 3 9 41 123 369 91009 273027 819081 3731369 6015701 11194107 18047103 33582321 54141309 246643741 739931223 2219793669 547482932309 1642448796927 4927346390781 22446800224669 67340400674007 202021202022021