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3201213313 is a prime number
BaseRepresentation
bin1011111011001110…
…1010001110000001
322021002122111010001
42332303222032001
523024002311223
61245353040001
7142220602264
oct27663521601
98232574101
103201213313
1113a3001a41
127540b6001
133c02a4b7c
14225222cdb
1513b08c9ad
hexbecea381

3201213313 has 2 divisors, whose sum is σ = 3201213314. Its totient is φ = 3201213312.

The previous prime is 3201213311. The next prime is 3201213317. The reversal of 3201213313 is 3133121023.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1977403024 + 1223810289 = 44468^2 + 34983^2 .

It is a cyclic number.

It is not a de Polignac number, because 3201213313 - 21 = 3201213311 is a prime.

Together with 3201213311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3201213311) 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, 1600606656 + 1600606657.

It is an arithmetic number, because the mean of its divisors is an integer number (1600606657).

Almost surely, 23201213313 is an apocalyptic number.

It is an amenable number.

3201213313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3201213313 is an equidigital number, since it uses as much as digits as its factorization.

3201213313 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 19.

The square root of 3201213313 is about 56579.2657516868. The cubic root of 3201213313 is about 1473.7988210601.

Adding to 3201213313 its reverse (3133121023), we get a palindrome (6334334336).

The spelling of 3201213313 in words is "three billion, two hundred one million, two hundred thirteen thousand, three hundred thirteen".