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33020020993 is a prime number
BaseRepresentation
bin11110110000001001…
…011000100100000001
310011020012222212100111
4132300021120210001
51020111111132433
623100313351321
72246160355531
oct366011304401
9104205885314
1033020020993
1113004a39553
126496408541
133162c6947b
1418535834c1
15cd3d24dcd
hex7b0258901

33020020993 has 2 divisors, whose sum is σ = 33020020994. Its totient is φ = 33020020992.

The previous prime is 33020020991. The next prime is 33020021051. The reversal of 33020020993 is 39902002033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27678311424 + 5341709569 = 166368^2 + 73087^2 .

It is a cyclic number.

It is not a de Polignac number, because 33020020993 - 21 = 33020020991 is a prime.

Together with 33020020991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (33020020991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16510010496 + 16510010497.

It is an arithmetic number, because the mean of its divisors is an integer number (16510010497).

Almost surely, 233020020993 is an apocalyptic number.

It is an amenable number.

33020020993 is a deficient number, since it is larger than the sum of its proper divisors (1).

33020020993 is an equidigital number, since it uses as much as digits as its factorization.

33020020993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 31.

The spelling of 33020020993 in words is "thirty-three billion, twenty million, twenty thousand, nine hundred ninety-three".