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20031313 is a prime number
BaseRepresentation
bin100110001101…
…0011101010001
31101200200210111
41030122131101
520112000223
61553201321
7332156221
oct114323521
941620714
1020031313
1110341905
126860241
1341c4763
142936081
151b5a30d
hex131a751

20031313 has 2 divisors, whose sum is σ = 20031314. Its totient is φ = 20031312.

The previous prime is 20031311. The next prime is 20031331. The reversal of 20031313 is 31313002.

Together with next prime (20031331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19864849 + 166464 = 4457^2 + 408^2 .

It is a cyclic number.

It is not a de Polignac number, because 20031313 - 21 = 20031311 is a prime.

Together with 20031311, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 20031293 and 20031302.

It is not a weakly prime, because it can be changed into another prime (20031311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10015656 + 10015657.

It is an arithmetic number, because the mean of its divisors is an integer number (10015657).

Almost surely, 220031313 is an apocalyptic number.

It is an amenable number.

20031313 is a deficient number, since it is larger than the sum of its proper divisors (1).

20031313 is an equidigital number, since it uses as much as digits as its factorization.

20031313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 20031313 is about 4475.6354856043. The cubic root of 20031313 is about 271.5833487246.

Adding to 20031313 its reverse (31313002), we get a palindrome (51344315).

It can be divided in two parts, 200 and 31313, that added together give a palindrome (31513).

The spelling of 20031313 in words is "twenty million, thirty-one thousand, three hundred thirteen".