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321100313 is a prime number
BaseRepresentation
bin10011001000111…
…001101000011001
3211101012120211012
4103020321220121
51124200202223
651510143305
710646210342
oct2310715031
9741176735
10321100313
11155286466
128b651b35
13516a7cb1
14309070c9
151d2cac78
hex13239a19

321100313 has 2 divisors, whose sum is σ = 321100314. Its totient is φ = 321100312.

The previous prime is 321100303. The next prime is 321100321. The reversal of 321100313 is 313001123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208167184 + 112933129 = 14428^2 + 10627^2 .

It is a cyclic number.

It is not a de Polignac number, because 321100313 - 26 = 321100249 is a prime.

It is a super-2 number, since 2×3211003132 = 206210822017395938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (321100303) 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, 160550156 + 160550157.

It is an arithmetic number, because the mean of its divisors is an integer number (160550157).

Almost surely, 2321100313 is an apocalyptic number.

It is an amenable number.

321100313 is a deficient number, since it is larger than the sum of its proper divisors (1).

321100313 is an equidigital number, since it uses as much as digits as its factorization.

321100313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 321100313 is about 17919.2721113331. The cubic root of 321100313 is about 684.7734438228.

Adding to 321100313 its reverse (313001123), we get a palindrome (634101436).

The spelling of 321100313 in words is "three hundred twenty-one million, one hundred thousand, three hundred thirteen".