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213056215246021 = 72411093181305861
BaseRepresentation
bin110000011100011000000100…
…000001101110010011000101
31000221100222022222000222011211
4300130120010001232103011
5210411203112100333041
62033044401333531421
762606542425643600
oct6034300401562305
91027328288028154
10213056215246021
11619826a7162454
121ba8b87b4a3b71
1391b6165547684
143a87d939b9337
151997133a70481
hexc1c60406e4c5

213056215246021 has 48 divisors (see below), whose sum is σ = 256296414472560. Its totient is φ = 176474858112000.

The previous prime is 213056215246009. The next prime is 213056215246057. The reversal of 213056215246021 is 120642512650312.

It can be written as a sum of positive squares in 8 ways, for example, as 9542452315396 + 203513762930625 = 3089086^2 + 14265825^2 .

It is not a de Polignac number, because 213056215246021 - 219 = 213056214721733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213056215246921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 696425631 + ... + 696731491.

It is an arithmetic number, because the mean of its divisors is an integer number (5339508634845).

Almost surely, 2213056215246021 is an apocalyptic number.

It is an amenable number.

213056215246021 is a deficient number, since it is larger than the sum of its proper divisors (43240199226539).

213056215246021 is a wasteful number, since it uses less digits than its factorization.

213056215246021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309206 (or 309199 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

Adding to 213056215246021 its reverse (120642512650312), we get a palindrome (333698727896333).

The spelling of 213056215246021 in words is "two hundred thirteen trillion, fifty-six billion, two hundred fifteen million, two hundred forty-six thousand, twenty-one".

Divisors: 1 7 41 49 109 287 763 2009 3181 4469 5341 22267 31283 130421 155869 218981 305861 346729 912947 2141027 2427103 6390629 12540301 14215889 14987189 16989721 33338849 87782107 99511223 233371943 614474749 696578561 972943841 1366892809 1633603601 6810606887 9568249663 39890697481 47674248209 66977747641 106050878669 279234882367 742356150683 1954644176569 4348086025429 5196493054781 30436602178003 213056215246021