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314213321 is a prime number
BaseRepresentation
bin10010101110101…
…000001111001001
3210220020200122102
4102232220033021
51120414311241
651102403145
710533524552
oct2256501711
9726220572
10314213321
11151402134
12892904b5
1350136356
142da33329
151c8ba39b
hex12ba83c9

314213321 has 2 divisors, whose sum is σ = 314213322. Its totient is φ = 314213320.

The previous prime is 314213297. The next prime is 314213351. The reversal of 314213321 is 123312413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 284934400 + 29278921 = 16880^2 + 5411^2 .

It is a cyclic number.

It is not a de Polignac number, because 314213321 - 214 = 314196937 is a prime.

It is a super-2 number, since 2×3142133212 = 197460022187698082, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 314213293 and 314213302.

It is not a weakly prime, because it can be changed into another prime (314213351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157106660 + 157106661.

It is an arithmetic number, because the mean of its divisors is an integer number (157106661).

Almost surely, 2314213321 is an apocalyptic number.

It is an amenable number.

314213321 is a deficient number, since it is larger than the sum of its proper divisors (1).

314213321 is an equidigital number, since it uses as much as digits as its factorization.

314213321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 20.

The square root of 314213321 is about 17726.0633249461. The cubic root of 314213321 is about 679.8423228700.

Adding to 314213321 its reverse (123312413), we get a palindrome (437525734).

The spelling of 314213321 in words is "three hundred fourteen million, two hundred thirteen thousand, three hundred twenty-one".