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330031232233229 is a prime number
BaseRepresentation
bin100101100001010010110001…
…0010111001010111100001101
31121021112200022000121011221002
41023002211202113022330031
5321224212430422430404
63125530131030350045
7126341653411602662
oct11302454227127415
91537480260534832
10330031232233229
119618150677667a
123102231babb325
131121ca722a7c37
145b6d84db4ba69
152824d0a517c1e
hex12c29625caf0d

330031232233229 has 2 divisors, whose sum is σ = 330031232233230. Its totient is φ = 330031232233228.

The previous prime is 330031232233177. The next prime is 330031232233237. The reversal of 330031232233229 is 922332232130033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 315328877280004 + 14702354953225 = 17757502^2 + 3834365^2 .

It is an emirp because it is prime and its reverse (922332232130033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 330031232233229 - 212 = 330031232229133 is a prime.

It is a super-2 number, since 2×3300312322332292 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330031232233192 and 330031232233201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330031232233249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165015616116614 + 165015616116615.

It is an arithmetic number, because the mean of its divisors is an integer number (165015616116615).

Almost surely, 2330031232233229 is an apocalyptic number.

It is an amenable number.

330031232233229 is a deficient number, since it is larger than the sum of its proper divisors (1).

330031232233229 is an equidigital number, since it uses as much as digits as its factorization.

330031232233229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 209952, while the sum is 38.

The spelling of 330031232233229 in words is "three hundred thirty trillion, thirty-one billion, two hundred thirty-two million, two hundred thirty-three thousand, two hundred twenty-nine".