Search a number
-
+
314014032301 is a prime number
BaseRepresentation
bin1001001000111001011…
…00011110000110101101
31010000112011210122000111
410210130230132012231
520121100043013201
6400131150300021
731454363143354
oct4443454360655
91100464718014
10314014032301
1111119980a182
1250a367b7611
13237c4311808
14112ac42c99b
15827cb64b51
hex491cb1e1ad

314014032301 has 2 divisors, whose sum is σ = 314014032302. Its totient is φ = 314014032300.

The previous prime is 314014032191. The next prime is 314014032307. The reversal of 314014032301 is 103230410413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 301209978276 + 12804054025 = 548826^2 + 113155^2 .

It is a cyclic number.

It is not a de Polignac number, because 314014032301 - 237 = 176575078829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314014032307) 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, 157007016150 + 157007016151.

It is an arithmetic number, because the mean of its divisors is an integer number (157007016151).

Almost surely, 2314014032301 is an apocalyptic number.

It is an amenable number.

314014032301 is a deficient number, since it is larger than the sum of its proper divisors (1).

314014032301 is an equidigital number, since it uses as much as digits as its factorization.

314014032301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 314014032301 its reverse (103230410413), we get a palindrome (417244442714).

The spelling of 314014032301 in words is "three hundred fourteen billion, fourteen million, thirty-two thousand, three hundred one".