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330023213033 is a prime number
BaseRepresentation
bin1001100110101101110…
…10101001011111101001
31011112211212220021102012
410303112322221133221
520401341420304113
6411335514445305
732562166011563
oct4632672513751
91145755807365
10330023213033
11117a64555658
1253b64133835
1325175c60717
1411d8a6b0333
1588b8370aa8
hex4cd6ea97e9

330023213033 has 2 divisors, whose sum is σ = 330023213034. Its totient is φ = 330023213032.

The previous prime is 330023212949. The next prime is 330023213053. The reversal of 330023213033 is 330312320033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 165968241664 + 164054971369 = 407392^2 + 405037^2 .

It is a cyclic number.

It is not a de Polignac number, because 330023213033 - 28 = 330023212777 is a prime.

It is a super-2 number, since 2×3300232130332 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (330023213053) 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, 165011606516 + 165011606517.

It is an arithmetic number, because the mean of its divisors is an integer number (165011606517).

Almost surely, 2330023213033 is an apocalyptic number.

It is an amenable number.

330023213033 is a deficient number, since it is larger than the sum of its proper divisors (1).

330023213033 is an equidigital number, since it uses as much as digits as its factorization.

330023213033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 23.

Adding to 330023213033 its reverse (330312320033), we get a palindrome (660335533066).

The spelling of 330023213033 in words is "three hundred thirty billion, twenty-three million, two hundred thirteen thousand, thirty-three".