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322314424321 is a prime number
BaseRepresentation
bin1001011000010110110…
…11111101000000000001
31010210221122110020022011
410230023123331000001
520240044443034241
6404022540412521
732200152255121
oct4541333750001
91123848406264
10322314424321
111147690a959a
1252572547141
1324517b5bc96
141185896cc81
1585b66ea281
hex4b0b6fd001

322314424321 has 2 divisors, whose sum is σ = 322314424322. Its totient is φ = 322314424320.

The previous prime is 322314424319. The next prime is 322314424337. The reversal of 322314424321 is 123424413223.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 309621022096 + 12693402225 = 556436^2 + 112665^2 .

It is a cyclic number.

It is not a de Polignac number, because 322314424321 - 21 = 322314424319 is a prime.

It is a super-2 number, since 2×3223144243212 (a number of 24 digits) contains 22 as substring.

Together with 322314424319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (322314424381) 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, 161157212160 + 161157212161.

It is an arithmetic number, because the mean of its divisors is an integer number (161157212161).

Almost surely, 2322314424321 is an apocalyptic number.

It is an amenable number.

322314424321 is a deficient number, since it is larger than the sum of its proper divisors (1).

322314424321 is an equidigital number, since it uses as much as digits as its factorization.

322314424321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27648, while the sum is 31.

Adding to 322314424321 its reverse (123424413223), we get a palindrome (445738837544).

The spelling of 322314424321 in words is "three hundred twenty-two billion, three hundred fourteen million, four hundred twenty-four thousand, three hundred twenty-one".