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2002222021 is a prime number
BaseRepresentation
bin111011101010111…
…0111101111000101
312011112112102021011
41313111313233011
513100032101041
6530402322221
7100421414662
oct16725675705
95145472234
102002222021
11938225048
1247a659371
1325ba74877
1414dcb6a69
15baba0e81
hex77577bc5

2002222021 has 2 divisors, whose sum is σ = 2002222022. Its totient is φ = 2002222020.

The previous prime is 2002222009. The next prime is 2002222049. The reversal of 2002222021 is 1202222002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1923261025 + 78960996 = 43855^2 + 8886^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002222021 - 229 = 1465351109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002221992 and 2002222010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002222051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001111010 + 1001111011.

It is an arithmetic number, because the mean of its divisors is an integer number (1001111011).

Almost surely, 22002222021 is an apocalyptic number.

It is an amenable number.

2002222021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002222021 is an equidigital number, since it uses as much as digits as its factorization.

2002222021 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 13.

The square root of 2002222021 is about 44746.1956036488. The cubic root of 2002222021 is about 1260.3874723759.

Adding to 2002222021 its reverse (1202222002), we get a palindrome (3204444023).

The spelling of 2002222021 in words is "two billion, two million, two hundred twenty-two thousand, twenty-one".