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31000313 is a prime number
BaseRepresentation
bin111011001000…
…0011011111001
32011022222102202
41312100123321
530414002223
63024235545
7524332631
oct166203371
964288382
1031000313
1116553aa3
12a46bbb5
1365653a6
14418d6c1
152ac5428
hex1d906f9

31000313 has 2 divisors, whose sum is σ = 31000314. Its totient is φ = 31000312.

The previous prime is 31000309. The next prime is 31000337. The reversal of 31000313 is 31300013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30063289 + 937024 = 5483^2 + 968^2 .

It is an emirp because it is prime and its reverse (31300013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31000313 - 22 = 31000309 is a prime.

It is a super-3 number, since 3×310003133 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 31000294 and 31000303.

It is not a weakly prime, because it can be changed into another prime (31000303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15500156 + 15500157.

It is an arithmetic number, because the mean of its divisors is an integer number (15500157).

Almost surely, 231000313 is an apocalyptic number.

It is an amenable number.

31000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

31000313 is an equidigital number, since it uses as much as digits as its factorization.

31000313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 31000313 is about 5567.7924709888. The cubic root of 31000313 is about 314.1391224960.

Adding to 31000313 its reverse (31300013), we get a palindrome (62300326).

It can be divided in two parts, 31000 and 313, that added together give a palindrome (31313).

The spelling of 31000313 in words is "thirty-one million, three hundred thirteen", and thus it is an aban number.