Search a number
-
+
314410021 is a prime number
BaseRepresentation
bin10010101111011…
…000010000100101
3210220121200110121
4102233120100211
51120442110041
651110521541
710535304202
oct2257302045
9726550417
10314410021
111515269a2
12893662b1
13501a4a43
142da84ca9
151c9087d1
hex12bd8425

314410021 has 2 divisors, whose sum is σ = 314410022. Its totient is φ = 314410020.

The previous prime is 314410013. The next prime is 314410039. The reversal of 314410021 is 120014413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 314352900 + 57121 = 17730^2 + 239^2 .

It is an emirp because it is prime and its reverse (120014413) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 314410021 - 23 = 314410013 is a prime.

It is a super-2 number, since 2×3144100212 = 197707322610440882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314409977 and 314410004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314417021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157205010 + 157205011.

It is an arithmetic number, because the mean of its divisors is an integer number (157205011).

Almost surely, 2314410021 is an apocalyptic number.

It is an amenable number.

314410021 is a deficient number, since it is larger than the sum of its proper divisors (1).

314410021 is an equidigital number, since it uses as much as digits as its factorization.

314410021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 314410021 is about 17731.6107841335. The cubic root of 314410021 is about 679.9841554843.

Adding to 314410021 its reverse (120014413), we get a palindrome (434424434).

The spelling of 314410021 in words is "three hundred fourteen million, four hundred ten thousand, twenty-one".