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330133022993 is a prime number
BaseRepresentation
bin1001100110111010111…
…01100010100100010001
31011120010112112012100202
410303131131202210101
520402103023213433
6411354440224545
732565001252334
oct4633535424421
91146115465322
10330133022993
11118010537494
1253b94a6b155
132519292a427
1411d9b0d661b
1588c2d11ee8
hex4cdd762911

330133022993 has 2 divisors, whose sum is σ = 330133022994. Its totient is φ = 330133022992.

The previous prime is 330133022987. The next prime is 330133023023. The reversal of 330133022993 is 399220331033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 301085956369 + 29047066624 = 548713^2 + 170432^2 .

It is a cyclic number.

It is not a de Polignac number, because 330133022993 - 26 = 330133022929 is a prime.

It is not a weakly prime, because it can be changed into another prime (330133022953) 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, 165066511496 + 165066511497.

It is an arithmetic number, because the mean of its divisors is an integer number (165066511497).

Almost surely, 2330133022993 is an apocalyptic number.

It is an amenable number.

330133022993 is a deficient number, since it is larger than the sum of its proper divisors (1).

330133022993 is an equidigital number, since it uses as much as digits as its factorization.

330133022993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 78732, while the sum is 38.

The spelling of 330133022993 in words is "three hundred thirty billion, one hundred thirty-three million, twenty-two thousand, nine hundred ninety-three".