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212113221013 is a prime number
BaseRepresentation
bin1100010110001011101…
…1101110010110010101
3202021111112110001212201
43011202323232112111
511433401441033023
6241235442244501
721216235426111
oct3054273562625
9667445401781
10212113221013
1181a58424461
1235138356731
1317004a76185
14a3a2b72741
1557b6b0bbad
hex3162eee595

212113221013 has 2 divisors, whose sum is σ = 212113221014. Its totient is φ = 212113221012.

The previous prime is 212113221007. The next prime is 212113221043. The reversal of 212113221013 is 310122311212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 174007448164 + 38105772849 = 417142^2 + 195207^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212113221013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212113221043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106056610506 + 106056610507.

It is an arithmetic number, because the mean of its divisors is an integer number (106056610507).

Almost surely, 2212113221013 is an apocalyptic number.

It is an amenable number.

212113221013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212113221013 is an equidigital number, since it uses as much as digits as its factorization.

212113221013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 212113221013 its reverse (310122311212), we get a palindrome (522235532225).

The spelling of 212113221013 in words is "two hundred twelve billion, one hundred thirteen million, two hundred twenty-one thousand, thirteen".