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212021310013 is a prime number
BaseRepresentation
bin1100010101110101110…
…1000111001000111101
3202021021010111111200121
43011131131013020331
511433204423410023
6241222400254541
721214041254032
oct3053535071075
9667233444617
10212021310013
1181a10558357
1235111611451
1316cbba05476
14a394889389
1557ada03d5d
hex315d74723d

212021310013 has 2 divisors, whose sum is σ = 212021310014. Its totient is φ = 212021310012.

The previous prime is 212021309963. The next prime is 212021310019. The reversal of 212021310013 is 310013120212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131829264889 + 80192045124 = 363083^2 + 283182^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212021310013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212021310019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106010655006 + 106010655007.

It is an arithmetic number, because the mean of its divisors is an integer number (106010655007).

Almost surely, 2212021310013 is an apocalyptic number.

It is an amenable number.

212021310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212021310013 is an equidigital number, since it uses as much as digits as its factorization.

212021310013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 212021310013 its reverse (310013120212), we get a palindrome (522034430225).

The spelling of 212021310013 in words is "two hundred twelve billion, twenty-one million, three hundred ten thousand, thirteen".