Search a number
-
+
213311319 = 31322324527
BaseRepresentation
bin11001011011011…
…01111101010111
3112212101100010020
430231231331113
5414101430234
633100000223
75200054614
oct1455557527
9485340106
10213311319
11aa454a51
125b530073
1335268120
142048950b
1513ad8549
hexcb6df57

213311319 has 16 divisors (see below), whose sum is σ = 307679232. Its totient is φ = 130674528.

The previous prime is 213311311. The next prime is 213311321. The reversal of 213311319 is 913113312.

It is not a de Polignac number, because 213311319 - 23 = 213311311 is a prime.

It is a super-2 number, since 2×2133113192 = 91003437627039522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213311311) 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 in 15 ways as a sum of consecutive naturals, for example, 3567 + ... + 20960.

It is an arithmetic number, because the mean of its divisors is an integer number (19229952).

Almost surely, 2213311319 is an apocalyptic number.

213311319 is a deficient number, since it is larger than the sum of its proper divisors (94367913).

213311319 is a wasteful number, since it uses less digits than its factorization.

213311319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24766.

The product of its digits is 486, while the sum is 24.

The square root of 213311319 is about 14605.1812381771. The cubic root of 213311319 is about 597.5000790135.

The spelling of 213311319 in words is "two hundred thirteen million, three hundred eleven thousand, three hundred nineteen".

Divisors: 1 3 13 39 223 669 2899 8697 24527 73581 318851 956553 5469521 16408563 71103773 213311319