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214959313 is a prime number
BaseRepresentation
bin11001101000000…
…00010011010001
3112222111001202001
430310000103101
5420012144223
633155154001
75220060352
oct1464002321
9488431661
10214959313
11100380128
125bba5901
13356c427a
1420797d29
1513d119ad
hexcd004d1

214959313 has 2 divisors, whose sum is σ = 214959314. Its totient is φ = 214959312.

The previous prime is 214959287. The next prime is 214959337. The reversal of 214959313 is 313959412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154927809 + 60031504 = 12447^2 + 7748^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214959313 is a prime.

It is a super-3 number, since 3×2149593133 (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (214959343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107479656 + 107479657.

It is an arithmetic number, because the mean of its divisors is an integer number (107479657).

Almost surely, 2214959313 is an apocalyptic number.

It is an amenable number.

214959313 is a deficient number, since it is larger than the sum of its proper divisors (1).

214959313 is an equidigital number, since it uses as much as digits as its factorization.

214959313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 29160, while the sum is 37.

The square root of 214959313 is about 14661.4908177852. The cubic root of 214959313 is about 599.0348492317.

Subtracting 214959313 from its reverse (313959412), we obtain a palindrome (99000099).

The spelling of 214959313 in words is "two hundred fourteen million, nine hundred fifty-nine thousand, three hundred thirteen".