Search a number
-
+
212102332113213 = 337855641930119
BaseRepresentation
bin110000001110011111101100…
…001010010110000100111101
31000210222210012012122010112000
4300032133230022112010331
5210300041034010110323
62031034244411532513
762450613342046443
oct6016375412260475
91023883165563460
10212102332113213
1161645103a88443
121b956a29a5a139
139147219698139
143a53b44290b93
15197c405d10e43
hexc0e7ec29613d

212102332113213 has 8 divisors (see below), whose sum is σ = 314225677204800. Its totient is φ = 141401554742124.

The previous prime is 212102332113173. The next prime is 212102332113223. The reversal of 212102332113213 is 312311233201212.

212102332113213 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 0 + 2 + 332 + 1 + 1 + 321 + 3 = 666.

212102332113213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212102332113213 - 26 = 212102332113149 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 7855641930119 = 212102332113213 / (2 + 1 + 2 + 1 + 0 + 2 + 3 + 3 + 2 + 1 + 1 + 3 + 2 + 1 + 3).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102332113223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3927820965033 + ... + 3927820965086.

It is an arithmetic number, because the mean of its divisors is an integer number (39278209650600).

Almost surely, 2212102332113213 is an apocalyptic number.

It is an amenable number.

212102332113213 is a deficient number, since it is larger than the sum of its proper divisors (102123345091587).

212102332113213 is an equidigital number, since it uses as much as digits as its factorization.

212102332113213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7855641930128 (or 7855641930122 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 212102332113213 its reverse (312311233201212), we get a palindrome (524413565314425).

The spelling of 212102332113213 in words is "two hundred twelve trillion, one hundred two billion, three hundred thirty-two million, one hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 9 27 7855641930119 23566925790357 70700777371071 212102332113213