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213222103013 is a prime number
BaseRepresentation
bin1100011010010100000…
…1110001011111100101
3202101100211000010000102
43012211001301133211
511443134324244023
6241541453353445
721255561654203
oct3064501613745
9671324003012
10213222103013
1182477355967
12353a7798885
131715071687a
14a46a144073
15582e149628
hex31a50717e5

213222103013 has 2 divisors, whose sum is σ = 213222103014. Its totient is φ = 213222103012.

The previous prime is 213222103009. The next prime is 213222103021. The reversal of 213222103013 is 310301222312.

213222103013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132646738849 + 80575364164 = 364207^2 + 283858^2 .

It is a cyclic number.

It is not a de Polignac number, because 213222103013 - 22 = 213222103009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213222103043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106611051506 + 106611051507.

It is an arithmetic number, because the mean of its divisors is an integer number (106611051507).

Almost surely, 2213222103013 is an apocalyptic number.

It is an amenable number.

213222103013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213222103013 is an equidigital number, since it uses as much as digits as its factorization.

213222103013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 213222103013 its reverse (310301222312), we get a palindrome (523523325325).

The spelling of 213222103013 in words is "two hundred thirteen billion, two hundred twenty-two million, one hundred three thousand, thirteen".