Search a number
-
+
210313013 is a prime number
BaseRepresentation
bin11001000100100…
…01111100110101
3112122202000012212
430202101330311
5412320004023
632511423205
75132426321
oct1442217465
9478660185
10210313013
11a8797309
125a524b05
1334758491
141dd08981
15136e4e78
hexc891f35

210313013 has 2 divisors, whose sum is σ = 210313014. Its totient is φ = 210313012.

The previous prime is 210312979. The next prime is 210313027. The reversal of 210313013 is 310313012.

210313013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (210313027) can be obtained adding 210313013 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 144913444 + 65399569 = 12038^2 + 8087^2 .

It is a cyclic number.

It is not a de Polignac number, because 210313013 - 220 = 209264437 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210313813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105156506 + 105156507.

It is an arithmetic number, because the mean of its divisors is an integer number (105156507).

Almost surely, 2210313013 is an apocalyptic number.

It is an amenable number.

210313013 is a deficient number, since it is larger than the sum of its proper divisors (1).

210313013 is an equidigital number, since it uses as much as digits as its factorization.

210313013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 210313013 is about 14502.1726992889. The cubic root of 210313013 is about 594.6873700720.

Adding to 210313013 its reverse (310313012), we get a palindrome (520626025).

Subtracting 210313013 from its reverse (310313012), we obtain a palindrome (99999999).

The spelling of 210313013 in words is "two hundred ten million, three hundred thirteen thousand, thirteen".