Search a number
-
+
202102022021 is a prime number
BaseRepresentation
bin1011110000111000111…
…0000001111110000101
3201022122211121110121212
42330032032001332011
511302401104201041
6232502215421205
720413163562044
oct2741616017605
9638584543555
10202102022021
1178790360489
1233203684805
131609a9674a3
149ad333655b
1553ccc8a8eb
hex2f0e381f85

202102022021 has 2 divisors, whose sum is σ = 202102022022. Its totient is φ = 202102022020.

The previous prime is 202102021991. The next prime is 202102022027. The reversal of 202102022021 is 120220201202.

202102022021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134330313121 + 67771708900 = 366511^2 + 260330^2 .

It is a cyclic number.

It is not a de Polignac number, because 202102022021 - 222 = 202097827717 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 202102021987 and 202102022005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202102022027) 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 as a sum of consecutive naturals, namely, 101051011010 + 101051011011.

It is an arithmetic number, because the mean of its divisors is an integer number (101051011011).

Almost surely, 2202102022021 is an apocalyptic number.

It is an amenable number.

202102022021 is a deficient number, since it is larger than the sum of its proper divisors (1).

202102022021 is an equidigital number, since it uses as much as digits as its factorization.

202102022021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202102022021 its reverse (120220201202), we get a palindrome (322322223223).

The spelling of 202102022021 in words is "two hundred two billion, one hundred two million, twenty-two thousand, twenty-one".