Search a number
-
+
220414231313 is a prime number
BaseRepresentation
bin1100110101000110110…
…1100100001100010001
3210001221001021002021122
43031101231210030101
512102402020400223
6245131253532025
721632033024243
oct3152155441421
9701831232248
10220414231313
11855280a6351
1236874344015
1317a2877bba3
14a94d3d4093
155b007655c8
hex3351b64311

220414231313 has 2 divisors, whose sum is σ = 220414231314. Its totient is φ = 220414231312.

The previous prime is 220414231291. The next prime is 220414231363. The reversal of 220414231313 is 313132414022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120487434769 + 99926796544 = 347113^2 + 316112^2 .

It is a cyclic number.

It is not a de Polignac number, because 220414231313 - 218 = 220413969169 is a prime.

It is not a weakly prime, because it can be changed into another prime (220414231363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110207115656 + 110207115657.

It is an arithmetic number, because the mean of its divisors is an integer number (110207115657).

Almost surely, 2220414231313 is an apocalyptic number.

It is an amenable number.

220414231313 is a deficient number, since it is larger than the sum of its proper divisors (1).

220414231313 is an equidigital number, since it uses as much as digits as its factorization.

220414231313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 220414231313 its reverse (313132414022), we get a palindrome (533546645335).

The spelling of 220414231313 in words is "two hundred twenty billion, four hundred fourteen million, two hundred thirty-one thousand, three hundred thirteen".