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330331132993 is a prime number
BaseRepresentation
bin1001100111010010100…
…01010001010001000001
31011120122100022020012011
410303221101101101001
520403004232223433
6411430234332521
732602625205451
oct4635121212101
91146570266164
10330331132993
11118102349464
125402b28a141
13251c49a2394
1411db9545d61
1588d53e63cd
hex4ce9451441

330331132993 has 2 divisors, whose sum is σ = 330331132994. Its totient is φ = 330331132992.

The previous prime is 330331132973. The next prime is 330331132997. The reversal of 330331132993 is 399231133033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 328871281729 + 1459851264 = 573473^2 + 38208^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-330331132993 is a prime.

It is not a weakly prime, because it can be changed into another prime (330331132997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165165566496 + 165165566497.

It is an arithmetic number, because the mean of its divisors is an integer number (165165566497).

Almost surely, 2330331132993 is an apocalyptic number.

It is an amenable number.

330331132993 is a deficient number, since it is larger than the sum of its proper divisors (1).

330331132993 is an equidigital number, since it uses as much as digits as its factorization.

330331132993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 118098, while the sum is 40.

Adding to 330331132993 its sum of digits (40), we get a palindrome (330331133033).

The spelling of 330331132993 in words is "three hundred thirty billion, three hundred thirty-one million, one hundred thirty-two thousand, nine hundred ninety-three".