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213314343 = 311291371627
BaseRepresentation
bin11001011011011…
…10101100100111
3112212101111021020
430231232230213
5414102024333
633100022223
75200066464
oct1455565447
9485344236
10213314343
11aa457250
125b531973
1335269608
142048a66b
1513ad93b3
hexcb6eb27

213314343 has 32 divisors (see below), whose sum is σ = 323516160. Its totient is φ = 123836160.

The previous prime is 213314333. The next prime is 213314383. The reversal of 213314343 is 343413312.

It is not a de Polignac number, because 213314343 - 29 = 213313831 is a prime.

It is a super-3 number, since 3×2133143433 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213314333) 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 in 31 ways as a sum of consecutive naturals, for example, 130296 + ... + 131922.

It is an arithmetic number, because the mean of its divisors is an integer number (10109880).

Almost surely, 2213314343 is an apocalyptic number.

213314343 is a deficient number, since it is larger than the sum of its proper divisors (110201817).

213314343 is a wasteful number, since it uses less digits than its factorization.

213314343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807.

The product of its digits is 2592, while the sum is 24.

The square root of 213314343 is about 14605.2847627152. The cubic root of 213314343 is about 597.5029024794.

Adding to 213314343 its reverse (343413312), we get a palindrome (556727655).

The spelling of 213314343 in words is "two hundred thirteen million, three hundred fourteen thousand, three hundred forty-three".

Divisors: 1 3 11 29 33 87 137 319 411 957 1507 1627 3973 4521 4881 11919 17897 43703 47183 53691 131109 141549 222899 519013 668697 1557039 2451889 6464071 7355667 19392213 71104781 213314343