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212101011201213 = 325328389739773
BaseRepresentation
bin110000001110011110011101…
…011011011101110010111101
31000210222122210011002211220100
4300032132131123131302331
5210300030332331414323
62031033505344111313
762450535532351161
oct6016363533356275
91023878704084810
10212101011201213
11616445963a7732
121b95671b605539
139147068b1a8c4
143a53a5aa88ca1
15197c379d8e943
hexc0e79d6ddcbd

212101011201213 has 18 divisors (see below), whose sum is σ = 312257724648506. Its totient is φ = 138732736869792.

The previous prime is 212101011201187. The next prime is 212101011201223. The reversal of 212101011201213 is 312102110101212.

It is a happy number.

212101011201213 is a `hidden beast` number, since 21 + 210 + 10 + 11 + 201 + 213 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 43208036251524 + 168892974949689 = 6573282^2 + 12995883^2 .

It is not a de Polignac number, because 212101011201213 - 217 = 212101011070141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101011201223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4194844606 + ... + 4194895167.

Almost surely, 2212101011201213 is an apocalyptic number.

It is an amenable number.

212101011201213 is a deficient number, since it is larger than the sum of its proper divisors (100156713447293).

212101011201213 is an equidigital number, since it uses as much as digits as its factorization.

212101011201213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8389739885 (or 8389739829 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 212101011201213 its reverse (312102110101212), we get a palindrome (524203121302425).

The spelling of 212101011201213 in words is "two hundred twelve trillion, one hundred one billion, eleven million, two hundred one thousand, two hundred thirteen".

Divisors: 1 3 9 53 159 477 2809 8427 25281 8389739773 25169219319 75507657957 444656207969 1333968623907 4001905871721 23566779022357 70700337067071 212101011201213