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213131100233 is a prime number
BaseRepresentation
bin1100011001111110011…
…0101000000001001001
3202101010110202200200002
43012133212220001021
511442443030201413
6241524443052345
721253405314032
oct3063746500111
9671113680602
10213131100233
118242aa4a157
12353812110b5
131713790337c
14a45c015a89
155826170958
hex319f9a8049

213131100233 has 2 divisors, whose sum is σ = 213131100234. Its totient is φ = 213131100232.

The previous prime is 213131100229. The next prime is 213131100239. The reversal of 213131100233 is 332001131312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 204409781689 + 8721318544 = 452117^2 + 93388^2 .

It is a cyclic number.

It is not a de Polignac number, because 213131100233 - 22 = 213131100229 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (213131100239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106565550116 + 106565550117.

It is an arithmetic number, because the mean of its divisors is an integer number (106565550117).

Almost surely, 2213131100233 is an apocalyptic number.

It is an amenable number.

213131100233 is a deficient number, since it is larger than the sum of its proper divisors (1).

213131100233 is an equidigital number, since it uses as much as digits as its factorization.

213131100233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 213131100233 its reverse (332001131312), we get a palindrome (545132231545).

The spelling of 213131100233 in words is "two hundred thirteen billion, one hundred thirty-one million, one hundred thousand, two hundred thirty-three".