Search a number
-
+
210434241321 = 32296120176553
BaseRepresentation
bin1100001111111011011…
…0111011001100101001
3202010011112011001201200
43003332312323030221
511421432131210241
6240401104034413
721126520352433
oct3037666731451
9663145131650
10210434241321
1181276709137
123494a002a09
1316ac7c79575
14a283b9d653
15571950b4b6
hex30fedbb329

210434241321 has 48 divisors (see below), whose sum is σ = 319804002960. Its totient is φ = 133145026560.

The previous prime is 210434241319. The next prime is 210434241359. The reversal of 210434241321 is 123142434012.

210434241321 is a `hidden beast` number, since 2 + 104 + 3 + 424 + 132 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6812191296 + 203622050025 = 82536^2 + 451245^2 .

It is not a de Polignac number, because 210434241321 - 21 = 210434241319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (210434241421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32109381 + ... + 32115933.

It is an arithmetic number, because the mean of its divisors is an integer number (6662583395).

Almost surely, 2210434241321 is an apocalyptic number.

It is an amenable number.

210434241321 is a deficient number, since it is larger than the sum of its proper divisors (109369761639).

210434241321 is a wasteful number, since it uses less digits than its factorization.

210434241321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8666 (or 8663 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 210434241321 its reverse (123142434012), we get a palindrome (333576675333).

The spelling of 210434241321 in words is "two hundred ten billion, four hundred thirty-four million, two hundred forty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 29 61 87 183 261 549 1769 2017 5307 6051 6553 15921 18153 19659 58493 58977 123037 175479 190037 369111 399733 526437 570111 1107333 1199199 1710333 3568073 3597597 10704219 11592257 13217401 32112657 34776771 39652203 104330313 118956609 383304629 806261461 1149913887 2418784383 3449741661 7256353149 23381582369 70144747107 210434241321