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2414413222301 is a prime number
BaseRepresentation
bin100011001000100110001…
…111100001000110011101
322112211000121102202222002
4203020212033201012131
5304024204241103201
65045055514332045
7336302260526243
oct43104617410635
98484017382862
102414413222301
11850a46358453
1232bb1a12a025
131468a7ca2302
1484c02d72793
1542c0ee3076b
hex232263e119d

2414413222301 has 2 divisors, whose sum is σ = 2414413222302. Its totient is φ = 2414413222300.

The previous prime is 2414413222267. The next prime is 2414413222307. The reversal of 2414413222301 is 1032223144142.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2014611196900 + 399802025401 = 1419370^2 + 632299^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2414413222301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2414413222307) 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, 1207206611150 + 1207206611151.

It is an arithmetic number, because the mean of its divisors is an integer number (1207206611151).

Almost surely, 22414413222301 is an apocalyptic number.

It is an amenable number.

2414413222301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2414413222301 is an equidigital number, since it uses as much as digits as its factorization.

2414413222301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 2414413222301 its reverse (1032223144142), we get a palindrome (3446636366443).

The spelling of 2414413222301 in words is "two trillion, four hundred fourteen billion, four hundred thirteen million, two hundred twenty-two thousand, three hundred one".