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827130221 is a prime number
BaseRepresentation
bin110001010011010…
…000000101101101
32010122101120100122
4301103100011231
53143221131341
6214024134325
726332330241
oct6123200555
92118346318
10827130221
113949911a5
121b10073a5
13102491888
147bbcc421
154c93594b
hex314d016d

827130221 has 2 divisors, whose sum is σ = 827130222. Its totient is φ = 827130220.

The previous prime is 827130217. The next prime is 827130323. The reversal of 827130221 is 122031728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 631969321 + 195160900 = 25139^2 + 13970^2 .

It is a cyclic number.

It is not a de Polignac number, because 827130221 - 22 = 827130217 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827139221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413565110 + 413565111.

It is an arithmetic number, because the mean of its divisors is an integer number (413565111).

Almost surely, 2827130221 is an apocalyptic number.

It is an amenable number.

827130221 is a deficient number, since it is larger than the sum of its proper divisors (1).

827130221 is an equidigital number, since it uses as much as digits as its factorization.

827130221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 827130221 is about 28759.8717139003. The cubic root of 827130221 is about 938.6952703638.

Adding to 827130221 its reverse (122031728), we get a palindrome (949161949).

The spelling of 827130221 in words is "eight hundred twenty-seven million, one hundred thirty thousand, two hundred twenty-one".