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330213100303133 is a prime number
BaseRepresentation
bin100101100010100111011101…
…0100010110011001100011101
31121022012001201201110101022222
41023011032322202303030131
5321240202412134200013
63130145445402315125
7126361052312645015
oct11305167242631435
91538161651411288
10330213100303133
1196241653535383
12310516171b8aa5
1311233c66c53698
145b78583a9cc45
152829901c23508
hex12c53ba8b331d

330213100303133 has 2 divisors, whose sum is σ = 330213100303134. Its totient is φ = 330213100303132.

The previous prime is 330213100303123. The next prime is 330213100303139. The reversal of 330213100303133 is 331303001312033.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218840600600644 + 111372499702489 = 14793262^2 + 10553317^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-330213100303133 is a prime.

It is a super-2 number, since 2×3302131003031332 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330213100303139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165106550151566 + 165106550151567.

It is an arithmetic number, because the mean of its divisors is an integer number (165106550151567).

Almost surely, 2330213100303133 is an apocalyptic number.

It is an amenable number.

330213100303133 is a deficient number, since it is larger than the sum of its proper divisors (1).

330213100303133 is an equidigital number, since it uses as much as digits as its factorization.

330213100303133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 330213100303133 its reverse (331303001312033), we get a palindrome (661516101615166).

The spelling of 330213100303133 in words is "three hundred thirty trillion, two hundred thirteen billion, one hundred million, three hundred three thousand, one hundred thirty-three".