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2124204221 is a prime number
BaseRepresentation
bin111111010011100…
…1100100010111101
312111001001202101102
41332213030202331
513322244013341
6550441022445
7103432303136
oct17647144275
95431052342
102124204221
119a0070087
124b3484a25
1327b113a99
1416218ac8d
15c6748c9b
hex7e9cc8bd

2124204221 has 2 divisors, whose sum is σ = 2124204222. Its totient is φ = 2124204220.

The previous prime is 2124204211. The next prime is 2124204223. The reversal of 2124204221 is 1224024212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2123827225 + 376996 = 46085^2 + 614^2 .

It is a cyclic number.

It is not a de Polignac number, because 2124204221 - 26 = 2124204157 is a prime.

Together with 2124204223, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2124204193 and 2124204202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2124204223) 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, 1062102110 + 1062102111.

It is an arithmetic number, because the mean of its divisors is an integer number (1062102111).

Almost surely, 22124204221 is an apocalyptic number.

It is an amenable number.

2124204221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2124204221 is an equidigital number, since it uses as much as digits as its factorization.

2124204221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2124204221 is about 46089.0900430894. The cubic root of 2124204221 is about 1285.4802912220.

Adding to 2124204221 its reverse (1224024212), we get a palindrome (3348228433).

Subtracting from 2124204221 its reverse (1224024212), we obtain a square (900180009 = 300032).

The spelling of 2124204221 in words is "two billion, one hundred twenty-four million, two hundred four thousand, two hundred twenty-one".