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213243332077 is a prime number
BaseRepresentation
bin1100011010011001001…
…0110000010111101101
3202101102021221122211001
43012212102300113231
511443210243111302
6241543532400301
721256240262416
oct3064622602755
9671367848731
10213243332077
1182488335646
12353b2916091
1317154c3a549
14a46ccac80d
155830e3e787
hex31a64b05ed

213243332077 has 2 divisors, whose sum is σ = 213243332078. Its totient is φ = 213243332076.

The previous prime is 213243332041. The next prime is 213243332101. The reversal of 213243332077 is 770233342312.

213243332077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155818878121 + 57424453956 = 394739^2 + 239634^2 .

It is a cyclic number.

It is not a de Polignac number, because 213243332077 - 215 = 213243299309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213243342077) 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, 106621666038 + 106621666039.

It is an arithmetic number, because the mean of its divisors is an integer number (106621666039).

Almost surely, 2213243332077 is an apocalyptic number.

It is an amenable number.

213243332077 is a deficient number, since it is larger than the sum of its proper divisors (1).

213243332077 is an equidigital number, since it uses as much as digits as its factorization.

213243332077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 127008, while the sum is 37.

Adding to 213243332077 its reverse (770233342312), we get a palindrome (983476674389).

The spelling of 213243332077 in words is "two hundred thirteen billion, two hundred forty-three million, three hundred thirty-two thousand, seventy-seven".