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212301113013 = 32112194950517
BaseRepresentation
bin1100010110111000100…
…0011110011010110101
3202021222121222222020200
43011232020132122311
511434243041104023
6241310233351113
721224006454153
oct3055610363265
9667877888220
10212301113013
1182044497500
123518b268499
1317034981282
14a3bdac23d3
1557c8373743
hex316e21e6b5

212301113013 has 18 divisors (see below), whose sum is σ = 337069445622. Its totient is φ = 128667340560.

The previous prime is 212301112993. The next prime is 212301113023. The reversal of 212301113013 is 310311103212.

212301113013 is a `hidden beast` number, since 21 + 230 + 111 + 301 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 159941605329 + 52359507684 = 399927^2 + 228822^2 .

It is not a de Polignac number, because 212301113013 - 214 = 212301096629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212301113023) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 97474170 + ... + 97476347.

Almost surely, 2212301113013 is an apocalyptic number.

It is an amenable number.

212301113013 is a deficient number, since it is larger than the sum of its proper divisors (124768332609).

212301113013 is a wasteful number, since it uses less digits than its factorization.

212301113013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194950545 (or 194950531 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 212301113013 its reverse (310311103212), we get a palindrome (522612216225).

The spelling of 212301113013 in words is "two hundred twelve billion, three hundred one million, one hundred thirteen thousand, thirteen".

Divisors: 1 3 9 11 33 99 121 363 1089 194950517 584851551 1754554653 2144455687 6433367061 19300101183 23589012557 70767037671 212301113013