Search a number
-
+
213543234440341 = 1318122753182129
BaseRepresentation
bin110000100011011101101000…
…101000100000110010010101
31001000002112102011120102121121
4300203131220220200302111
5210442143021004042331
62034100224013243541
762656663263540601
oct6043355050406225
91030075364512547
10213543234440341
11620501a4865473
121bb4a1391935b1
13922006b284230
143aa3794c2c501
1519a4b39c93c11
hexc23768a20c95

213543234440341 has 24 divisors (see below), whose sum is σ = 231332475596040. Its totient is φ = 195955507445760.

The previous prime is 213543234440317. The next prime is 213543234440351. The reversal of 213543234440341 is 143044432345312.

It can be written as a sum of positive squares in 12 ways, for example, as 170363944941316 + 43179289499025 = 13052354^2 + 6571095^2 .

It is not a de Polignac number, because 213543234440341 - 27 = 213543234440213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213543234440351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1172392365 + ... + 1172574493.

It is an arithmetic number, because the mean of its divisors is an integer number (9638853149835).

Almost surely, 2213543234440341 is an apocalyptic number.

It is an amenable number.

213543234440341 is a deficient number, since it is larger than the sum of its proper divisors (17789241155699).

213543234440341 is a wasteful number, since it uses less digits than its factorization.

213543234440341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185257 (or 185076 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 43.

Adding to 213543234440341 its reverse (143044432345312), we get a palindrome (356587666785653).

The spelling of 213543234440341 in words is "two hundred thirteen trillion, five hundred forty-three billion, two hundred thirty-four million, four hundred forty thousand, three hundred forty-one".

Divisors: 1 13 181 2353 2753 32761 35789 182129 425893 498293 2367677 6477809 32965349 90191033 428549537 501401137 1172483429 5966728169 6518214781 77567466197 90753605797 1179796875361 16426402649257 213543234440341