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213331813 is a prime number
BaseRepresentation
bin11001011011100…
…10111101100101
3112212102101020021
430231302331211
5414103104223
633100235141
75200201432
oct1455627545
9485371207
10213331813
11aa469392
125b53bab1
1335274556
1420492b89
1513ade65d
hexcb72f65

213331813 has 2 divisors, whose sum is σ = 213331814. Its totient is φ = 213331812.

The previous prime is 213331763. The next prime is 213331841. The reversal of 213331813 is 318133312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209178369 + 4153444 = 14463^2 + 2038^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213331813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213331873) 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, 106665906 + 106665907.

It is an arithmetic number, because the mean of its divisors is an integer number (106665907).

Almost surely, 2213331813 is an apocalyptic number.

It is an amenable number.

213331813 is a deficient number, since it is larger than the sum of its proper divisors (1).

213331813 is an equidigital number, since it uses as much as digits as its factorization.

213331813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 25.

The square root of 213331813 is about 14605.8828216579. The cubic root of 213331813 is about 597.5192134482.

The spelling of 213331813 in words is "two hundred thirteen million, three hundred thirty-one thousand, eight hundred thirteen".