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3223122313 is a prime number
BaseRepresentation
bin1100000000011100…
…1111000110001001
322022121212120121111
43000013033012021
523100104403223
61251454410321
7142605042025
oct30007170611
98277776544
103223122313
111404406554
1275b5009a1
133c49a6188
142280c7385
1513ce6930d
hexc01cf189

3223122313 has 2 divisors, whose sum is σ = 3223122314. Its totient is φ = 3223122312.

The previous prime is 3223122311. The next prime is 3223122347. The reversal of 3223122313 is 3132213223.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2583892224 + 639230089 = 50832^2 + 25283^2 .

It is a cyclic number.

It is not a de Polignac number, because 3223122313 - 21 = 3223122311 is a prime.

Together with 3223122311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3223122311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1611561156 + 1611561157.

It is an arithmetic number, because the mean of its divisors is an integer number (1611561157).

Almost surely, 23223122313 is an apocalyptic number.

It is an amenable number.

3223122313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3223122313 is an equidigital number, since it uses as much as digits as its factorization.

3223122313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 22.

The square root of 3223122313 is about 56772.5489387257. The cubic root of 3223122313 is about 1477.1533902355.

Adding to 3223122313 its reverse (3132213223), we get a palindrome (6355335536).

The spelling of 3223122313 in words is "three billion, two hundred twenty-three million, one hundred twenty-two thousand, three hundred thirteen".