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33330000333313 is a prime number
BaseRepresentation
bin1111001010000001111101…
…10101001000101000000001
311101000022120000210220021101
413211000332311020220001
513332034320041131223
6154515331335054401
710010004323243365
oct745007665105001
9141008500726241
1033330000333313
11a6901a0305522
1238a36b1811401
13157a00c24b768
148332758b92a5
153cbeca86e4ad
hex1e503ed48a01

33330000333313 has 2 divisors, whose sum is σ = 33330000333314. Its totient is φ = 33330000333312.

The previous prime is 33330000333269. The next prime is 33330000333319. The reversal of 33330000333313 is 31333300003333.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28423474088689 + 4906526244624 = 5331367^2 + 2215068^2 .

It is a cyclic number.

It is not a de Polignac number, because 33330000333313 - 229 = 33329463462401 is a prime.

It is a super-2 number, since 2×333300003333132 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33330000333319) 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, 16665000166656 + 16665000166657.

It is an arithmetic number, because the mean of its divisors is an integer number (16665000166657).

Almost surely, 233330000333313 is an apocalyptic number.

It is an amenable number.

33330000333313 is a deficient number, since it is larger than the sum of its proper divisors (1).

33330000333313 is an equidigital number, since it uses as much as digits as its factorization.

33330000333313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19683, while the sum is 28.

Adding to 33330000333313 its reverse (31333300003333), we get a palindrome (64663300336646).

The spelling of 33330000333313 in words is "thirty-three trillion, three hundred thirty billion, three hundred thirty-three thousand, three hundred thirteen".