Search a number
-
+
213201132331313 = 72711103290935027
BaseRepresentation
bin110000011110011111000001…
…110000100010000100110001
31000221212211101111002122220002
4300132133001300202010301
5210421041404334100223
62033235125325555345
762623162544564540
oct6036370160420461
91027784344078802
10213201132331313
1161a29102071545
121bab3983a15b55
1391c6a1ba27299
143a90dc0284157
15199acb62bae28
hexc1e7c1c22131

213201132331313 has 32 divisors (see below), whose sum is σ = 244870402129920. Its totient is φ = 181836705625920.

The previous prime is 213201132331309. The next prime is 213201132331391. The reversal of 213201132331313 is 313133231102312.

It is a cyclic number.

It is not a de Polignac number, because 213201132331313 - 22 = 213201132331309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213201132331013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6086747906 + ... + 6086782932.

It is an arithmetic number, because the mean of its divisors is an integer number (7652200066560).

Almost surely, 2213201132331313 is an apocalyptic number.

It is an amenable number.

213201132331313 is a deficient number, since it is larger than the sum of its proper divisors (31669269798607).

213201132331313 is a wasteful number, since it uses less digits than its factorization.

213201132331313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39317.

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 213201132331313 its reverse (313133231102312), we get a palindrome (526334363433625).

The spelling of 213201132331313 in words is "two hundred thirteen trillion, two hundred one billion, one hundred thirty-two million, three hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 7 271 1103 1897 2909 7721 20363 35027 245189 298913 788339 2092391 3208627 5518373 9492317 22460389 38634781 66446219 101893543 270443467 713254801 869537917 6086765419 10470025651 27613150153 73290179557 112388577929 193292051071 786720045503 30457304618759 213201132331313