Search a number
-
+
420312701 is a prime number
BaseRepresentation
bin11001000011010…
…111011001111101
31002021220002122002
4121003113121331
51330100001301
6105412432045
713262412314
oct3103273175
91067802562
10420312701
111a628a176
12b8918625
1369104153
143db7127b
1526d7716b
hex190d767d

420312701 has 2 divisors, whose sum is σ = 420312702. Its totient is φ = 420312700.

The previous prime is 420312679. The next prime is 420312721. The reversal of 420312701 is 107213024.

It is an a-pointer prime, because the next prime (420312721) can be obtained adding 420312701 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 402965476 + 17347225 = 20074^2 + 4165^2 .

It is a cyclic number.

It is not a de Polignac number, because 420312701 - 218 = 420050557 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (420312721) 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, 210156350 + 210156351.

It is an arithmetic number, because the mean of its divisors is an integer number (210156351).

Almost surely, 2420312701 is an apocalyptic number.

It is an amenable number.

420312701 is a deficient number, since it is larger than the sum of its proper divisors (1).

420312701 is an equidigital number, since it uses as much as digits as its factorization.

420312701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 420312701 is about 20501.5292356448. The cubic root of 420312701 is about 749.0730480038.

Adding to 420312701 its reverse (107213024), we get a palindrome (527525725).

The spelling of 420312701 in words is "four hundred twenty million, three hundred twelve thousand, seven hundred one".