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210212431813 is a prime number
BaseRepresentation
bin1100001111000110100…
…0110010011111000101
3202002121001202222021201
43003301220302133011
511421003340304223
6240323101542501
721121155121456
oct3036150623705
9662531688251
10210212431813
118117248a39a
12348a7874a31
1316a91027337
14a26254112d
155704ce4ead
hex30f1a327c5

210212431813 has 2 divisors, whose sum is σ = 210212431814. Its totient is φ = 210212431812.

The previous prime is 210212431811. The next prime is 210212431837. The reversal of 210212431813 is 318134212012.

210212431813 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., 138876966244 + 71335465569 = 372662^2 + 267087^2 .

It is a cyclic number.

It is not a de Polignac number, because 210212431813 - 21 = 210212431811 is a prime.

Together with 210212431811, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210212431811) 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, 105106215906 + 105106215907.

It is an arithmetic number, because the mean of its divisors is an integer number (105106215907).

Almost surely, 2210212431813 is an apocalyptic number.

It is an amenable number.

210212431813 is a deficient number, since it is larger than the sum of its proper divisors (1).

210212431813 is an equidigital number, since it uses as much as digits as its factorization.

210212431813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 210212431813 its reverse (318134212012), we get a palindrome (528346643825).

The spelling of 210212431813 in words is "two hundred ten billion, two hundred twelve million, four hundred thirty-one thousand, eight hundred thirteen".