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30332311323329 is a prime number
BaseRepresentation
bin1101110010110010010101…
…01001000100001011000001
310222101201222221002002011002
412321121022221010023001
512433431033144321304
6144302245500101345
76250302644132441
oct671311251041301
9128351887062132
1030332311323329
119734951a86854
12349a731834855
1313c042b441092
1476c13d8b2121
1537902de6d31e
hex1b964aa442c1

30332311323329 has 2 divisors, whose sum is σ = 30332311323330. Its totient is φ = 30332311323328.

The previous prime is 30332311323287. The next prime is 30332311323343. The reversal of 30332311323329 is 92332311323303.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28453177559104 + 1879133764225 = 5334152^2 + 1370815^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-30332311323329 is a prime.

It is a super-2 number, since 2×303323113233292 (a number of 28 digits) contains 22 as substring.

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 = 30332311323292 and 30332311323301.

It is not a weakly prime, because it can be changed into another prime (30332311323829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15166155661664 + 15166155661665.

It is an arithmetic number, because the mean of its divisors is an integer number (15166155661665).

Almost surely, 230332311323329 is an apocalyptic number.

It is an amenable number.

30332311323329 is a deficient number, since it is larger than the sum of its proper divisors (1).

30332311323329 is an equidigital number, since it uses as much as digits as its factorization.

30332311323329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 157464, while the sum is 38.

The spelling of 30332311323329 in words is "thirty trillion, three hundred thirty-two billion, three hundred eleven million, three hundred twenty-three thousand, three hundred twenty-nine".