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331300313 is a prime number
BaseRepresentation
bin10011101111110…
…011110111011001
3212002101210120222
4103233303313121
51134303102223
652512525425
711132002061
oct2357636731
9762353528
10331300313
11160012913
1292b50875
13538398b6
14320003a1
151e1430c8
hex13bf3dd9

331300313 has 2 divisors, whose sum is σ = 331300314. Its totient is φ = 331300312.

The previous prime is 331300273. The next prime is 331300339. The reversal of 331300313 is 313003133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 184090624 + 147209689 = 13568^2 + 12133^2 .

It is a cyclic number.

It is not a de Polignac number, because 331300313 - 210 = 331299289 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 331300291 and 331300300.

It is not a weakly prime, because it can be changed into another prime (331309313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165650156 + 165650157.

It is an arithmetic number, because the mean of its divisors is an integer number (165650157).

Almost surely, 2331300313 is an apocalyptic number.

It is an amenable number.

331300313 is a deficient number, since it is larger than the sum of its proper divisors (1).

331300313 is an equidigital number, since it uses as much as digits as its factorization.

331300313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 17.

The square root of 331300313 is about 18201.6568751309. The cubic root of 331300313 is about 691.9487812504.

Adding to 331300313 its reverse (313003133), we get a palindrome (644303446).

It can be divided in two parts, 3 and 31300313, that multiplied together give a palindrome (93900939).

The spelling of 331300313 in words is "three hundred thirty-one million, three hundred thousand, three hundred thirteen".