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213313021 is a prime number
BaseRepresentation
bin11001011011011…
…10010111111101
3112212101102110021
430231232113331
5414102004041
633100012141
75200062565
oct1455562775
9485342407
10213313021
11aa456259
125b531051
1335268b2c
1420489da5
1513ad8cd1
hexcb6e5fd

213313021 has 2 divisors, whose sum is σ = 213313022. Its totient is φ = 213313020.

The previous prime is 213313007. The next prime is 213313027. The reversal of 213313021 is 120313312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115025625 + 98287396 = 10725^2 + 9914^2 .

It is a cyclic number.

It is not a de Polignac number, because 213313021 - 215 = 213280253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213312986 and 213313004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213313027) 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, 106656510 + 106656511.

It is an arithmetic number, because the mean of its divisors is an integer number (106656511).

Almost surely, 2213313021 is an apocalyptic number.

It is an amenable number.

213313021 is a deficient number, since it is larger than the sum of its proper divisors (1).

213313021 is an equidigital number, since it uses as much as digits as its factorization.

213313021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 213313021 is about 14605.2395050543. The cubic root of 213313021 is about 597.5016681501.

Adding to 213313021 its reverse (120313312), we get a palindrome (333626333).

The spelling of 213313021 in words is "two hundred thirteen million, three hundred thirteen thousand, twenty-one".