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103222313 is a prime number
BaseRepresentation
bin1100010011100…
…00110000101001
321012020020101122
412021300300221
5202411103223
614124225025
72362242455
oct611606051
9235206348
10103222313
11532a24a7
122a69b175
13185013bc
14d9cd665
1590de5c8
hex6270c29

103222313 has 2 divisors, whose sum is σ = 103222314. Its totient is φ = 103222312.

The previous prime is 103222291. The next prime is 103222333. The reversal of 103222313 is 313222301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102353689 + 868624 = 10117^2 + 932^2 .

It is a cyclic number.

It is not a de Polignac number, because 103222313 - 212 = 103218217 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103222291 and 103222300.

It is not a weakly prime, because it can be changed into another prime (103222333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51611156 + 51611157.

It is an arithmetic number, because the mean of its divisors is an integer number (51611157).

Almost surely, 2103222313 is an apocalyptic number.

It is an amenable number.

103222313 is a deficient number, since it is larger than the sum of its proper divisors (1).

103222313 is an equidigital number, since it uses as much as digits as its factorization.

103222313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 103222313 is about 10159.8382369012. The cubic root of 103222313 is about 469.0918225447.

Adding to 103222313 its reverse (313222301), we get a palindrome (416444614).

The spelling of 103222313 in words is "one hundred three million, two hundred twenty-two thousand, three hundred thirteen".