Search a number
-
+
221300320427 is a prime number
BaseRepresentation
bin1100111000011010000…
…1101110100010101011
3210011012210121002000222
43032012201232202223
512111210340223202
6245355225520255
721663012454364
oct3160641564253
9704183532028
10221300320427
11859422971aa
1236a8104308b
1317b3a214884
14a9d4d6cb6b
155b534454a2
hex338686e8ab

221300320427 has 2 divisors, whose sum is σ = 221300320428. Its totient is φ = 221300320426.

The previous prime is 221300320321. The next prime is 221300320429. The reversal of 221300320427 is 724023003122.

It is a happy number.

221300320427 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 is a cyclic number.

It is not a de Polignac number, because 221300320427 - 218 = 221300058283 is a prime.

Together with 221300320429, 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 = 221300320396 and 221300320405.

It is not a weakly prime, because it can be changed into another prime (221300320429) 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, 110650160213 + 110650160214.

It is an arithmetic number, because the mean of its divisors is an integer number (110650160214).

Almost surely, 2221300320427 is an apocalyptic number.

221300320427 is a deficient number, since it is larger than the sum of its proper divisors (1).

221300320427 is an equidigital number, since it uses as much as digits as its factorization.

221300320427 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 26.

Adding to 221300320427 its reverse (724023003122), we get a palindrome (945323323549).

The spelling of 221300320427 in words is "two hundred twenty-one billion, three hundred million, three hundred twenty thousand, four hundred twenty-seven".