Search a number
-
+
212112022013 is a prime number
BaseRepresentation
bin1100010110001011011…
…1001001100111111101
3202021111110012011011022
43011202313021213331
511433401134201023
6241235400433525
721216222303353
oct3054267114775
9667443164138
10212112022013
1181a57785651
1235137a788a5
13170047464c8
14a3a293d7d3
1557b69717c8
hex3162dc99fd

212112022013 has 2 divisors, whose sum is σ = 212112022014. Its totient is φ = 212112022012.

The previous prime is 212112022007. The next prime is 212112022049. The reversal of 212112022013 is 310220211212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121213992964 + 90898029049 = 348158^2 + 301493^2 .

It is a cyclic number.

It is not a de Polignac number, because 212112022013 - 26 = 212112021949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212112021982 and 212112022000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212112022063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106056011006 + 106056011007.

It is an arithmetic number, because the mean of its divisors is an integer number (106056011007).

Almost surely, 2212112022013 is an apocalyptic number.

It is an amenable number.

212112022013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212112022013 is an equidigital number, since it uses as much as digits as its factorization.

212112022013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 212112022013 its reverse (310220211212), we get a palindrome (522332233225).

The spelling of 212112022013 in words is "two hundred twelve billion, one hundred twelve million, twenty-two thousand, thirteen".