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2033332993 is a prime number
BaseRepresentation
bin111100100110010…
…0011001100000001
312020201002000111101
41321030203030001
513131013123433
6533433214401
7101250021346
oct17114431401
95221060441
102033332993
1195384419a
12488b61401
13265348423
141540947cd
15bd79907d
hex79323301

2033332993 has 2 divisors, whose sum is σ = 2033332994. Its totient is φ = 2033332992.

The previous prime is 2033332943. The next prime is 2033333017. The reversal of 2033332993 is 3992333302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1030217409 + 1003115584 = 32097^2 + 31672^2 .

It is a cyclic number.

It is not a de Polignac number, because 2033332993 - 213 = 2033324801 is a prime.

It is not a weakly prime, because it can be changed into another prime (2033332913) 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, 1016666496 + 1016666497.

It is an arithmetic number, because the mean of its divisors is an integer number (1016666497).

Almost surely, 22033332993 is an apocalyptic number.

It is an amenable number.

2033332993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2033332993 is an equidigital number, since it uses as much as digits as its factorization.

2033332993 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 37.

The square root of 2033332993 is about 45092.4937545042. The cubic root of 2033332993 is about 1266.8820102560.

It can be divided in two parts, 203333299 and 3, that added together give a palindrome (203333302).

The spelling of 2033332993 in words is "two billion, thirty-three million, three hundred thirty-two thousand, nine hundred ninety-three".