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21333332313329 is a prime number
BaseRepresentation
bin1001101100111000011011…
…01100011100010011110001
32210112110001121102220210012
410312130031230130103301
510244011131033011304
6113212221512544305
74331165601466331
oct466341554342361
983473047386705
1021333332313329
116885462a28613
1224866619b2095
13bb9955c5a4aa
1453a77863d0c1
1526ede021c16e
hex13670db1c4f1

21333332313329 has 2 divisors, whose sum is σ = 21333332313330. Its totient is φ = 21333332313328.

The previous prime is 21333332313301. The next prime is 21333332313343. The reversal of 21333332313329 is 92331323333312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21202341160000 + 130991153329 = 4604600^2 + 361927^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21333332313329 is a prime.

It is a super-2 number, since 2×213333323133292 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21333332313229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10666666156664 + 10666666156665.

It is an arithmetic number, because the mean of its divisors is an integer number (10666666156665).

Almost surely, 221333332313329 is an apocalyptic number.

It is an amenable number.

21333332313329 is a deficient number, since it is larger than the sum of its proper divisors (1).

21333332313329 is an equidigital number, since it uses as much as digits as its factorization.

21333332313329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 472392, while the sum is 41.

The spelling of 21333332313329 in words is "twenty-one trillion, three hundred thirty-three billion, three hundred thirty-two million, three hundred thirteen thousand, three hundred twenty-nine".