Search a number
-
+
212120300313 = 33471671000931
BaseRepresentation
bin1100010110001101011…
…0101110101100011001
3202021112000202201212000
43011203112232230121
511433410244102223
6241240254111213
721216352542345
oct3054326565431
9667460681760
10212120300313
1181a6141a219
123513a7ab509
13170063844cc
14a3a3a96625
1557b7559543
hex31635aeb19

212120300313 has 32 divisors (see below), whose sum is σ = 322860625920. Its totient is φ = 137575826640.

The previous prime is 212120300311. The next prime is 212120300317. The reversal of 212120300313 is 313003021212.

212120300313 is a `hidden beast` number, since 212 + 120 + 300 + 31 + 3 = 666.

It is not a de Polignac number, because 212120300313 - 21 = 212120300311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212120300311) 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, 288543 + ... + 712388.

It is an arithmetic number, because the mean of its divisors is an integer number (10089394560).

Almost surely, 2212120300313 is an apocalyptic number.

It is an amenable number.

212120300313 is a deficient number, since it is larger than the sum of its proper divisors (110740325607).

212120300313 is a wasteful number, since it uses less digits than its factorization.

212120300313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001154 (or 1001148 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212120300313 its reverse (313003021212), we get a palindrome (525123321525).

The spelling of 212120300313 in words is "two hundred twelve billion, one hundred twenty million, three hundred thousand, three hundred thirteen".

Divisors: 1 3 9 27 47 141 167 423 501 1269 1503 4509 7849 23547 70641 211923 1000931 3002793 9008379 27025137 47043757 141131271 167155477 423393813 501466431 1270181439 1504399293 4513197879 7856307419 23568922257 70706766771 212120300313