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31330003009 is a prime number
BaseRepresentation
bin11101001011011010…
…011110100001000001
32222212102221001111211
4131023122132201001
51003130440044014
622220502410121
72156246426434
oct351332364101
988772831454
1031330003009
1112317a73a78
1260a4430941
132c53aa6526
141732d3981b
15c35793cc4
hex74b69e841

31330003009 has 2 divisors, whose sum is σ = 31330003010. Its totient is φ = 31330003008.

The previous prime is 31330003007. The next prime is 31330003031. The reversal of 31330003009 is 90030003313.

It is an a-pointer prime, because the next prime (31330003031) can be obtained adding 31330003009 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31292548609 + 37454400 = 176897^2 + 6120^2 .

It is a cyclic number.

It is not a de Polignac number, because 31330003009 - 21 = 31330003007 is a prime.

Together with 31330003007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (31330003007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15665001504 + 15665001505.

It is an arithmetic number, because the mean of its divisors is an integer number (15665001505).

Almost surely, 231330003009 is an apocalyptic number.

It is an amenable number.

31330003009 is a deficient number, since it is larger than the sum of its proper divisors (1).

31330003009 is an equidigital number, since it uses as much as digits as its factorization.

31330003009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 22.

The spelling of 31330003009 in words is "thirty-one billion, three hundred thirty million, three thousand, nine".