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213132023201 is a prime number
BaseRepresentation
bin1100011001111110101…
…0001001010110100001
3202101010112111120202002
43012133222021112201
511442443244220301
6241524514533345
721253416206636
oct3063752112641
9671115446662
10213132023201
118243051a639
1235381597255
1317137b674c6
14a45c1b618d
1558262a416b
hex319fa895a1

213132023201 has 2 divisors, whose sum is σ = 213132023202. Its totient is φ = 213132023200.

The previous prime is 213132023177. The next prime is 213132023239. The reversal of 213132023201 is 102320231312.

213132023201 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., 106568949601 + 106563073600 = 326449^2 + 326440^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213132023201 is a prime.

It is not a weakly prime, because it can be changed into another prime (213132023101) 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, 106566011600 + 106566011601.

It is an arithmetic number, because the mean of its divisors is an integer number (106566011601).

Almost surely, 2213132023201 is an apocalyptic number.

It is an amenable number.

213132023201 is a deficient number, since it is larger than the sum of its proper divisors (1).

213132023201 is an equidigital number, since it uses as much as digits as its factorization.

213132023201 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 213132023201 its reverse (102320231312), we get a palindrome (315452254513).

The spelling of 213132023201 in words is "two hundred thirteen billion, one hundred thirty-two million, twenty-three thousand, two hundred one".