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213243133357 is a prime number
BaseRepresentation
bin1100011010011001000…
…1111111110110101101
3202101102021120120020001
43012212101333312231
511443210220231412
6241543524224301
721256235504152
oct3064621776655
9671367516201
10213243133357
118248820a311
12353b283b091
1317154b9ac67
14a46cc5a229
155830e00957
hex31a647fdad

213243133357 has 2 divisors, whose sum is σ = 213243133358. Its totient is φ = 213243133356.

The previous prime is 213243133303. The next prime is 213243133379. The reversal of 213243133357 is 753331342312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142562125476 + 70681007881 = 377574^2 + 265859^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213243133357 is a prime.

It is a super-2 number, since 2×2132431333572 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213243136357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106621566678 + 106621566679.

It is an arithmetic number, because the mean of its divisors is an integer number (106621566679).

Almost surely, 2213243133357 is an apocalyptic number.

It is an amenable number.

213243133357 is a deficient number, since it is larger than the sum of its proper divisors (1).

213243133357 is an equidigital number, since it uses as much as digits as its factorization.

213243133357 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 136080, while the sum is 37.

Adding to 213243133357 its reverse (753331342312), we get a palindrome (966574475669).

The spelling of 213243133357 in words is "two hundred thirteen billion, two hundred forty-three million, one hundred thirty-three thousand, three hundred fifty-seven".