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33300322033 = 112972837209
BaseRepresentation
bin11111000000110110…
…101001011011110001
310011221202102122002111
4133000312221123301
51021144340301113
623144205245321
72256133031656
oct370066513361
9104852378074
1033300322033
1113139188900
126554263841
1331a905ab84
14187c8a9c2d
15ced74213d
hex7c0da96f1

33300322033 has 12 divisors (see below), whose sum is σ = 36980195140. Its totient is φ = 29960916480.

The previous prime is 33300322031. The next prime is 33300322063. The reversal of 33300322033 is 33022300333.

It can be written as a sum of positive squares in 2 ways, for example, as 16643064064 + 16657257969 = 129008^2 + 129063^2 .

It is not a de Polignac number, because 33300322033 - 21 = 33300322031 is a prime.

It is a super-2 number, since 2×333003220332 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33300321995 and 33300322013.

It is not an unprimeable number, because it can be changed into a prime (33300322031) 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 in 11 ways as a sum of consecutive naturals, for example, 1406868 + ... + 1430341.

Almost surely, 233300322033 is an apocalyptic number.

It is an amenable number.

33300322033 is a deficient number, since it is larger than the sum of its proper divisors (3679873107).

33300322033 is a wasteful number, since it uses less digits than its factorization.

33300322033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837328 (or 2837317 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 22.

Adding to 33300322033 its reverse (33022300333), we get a palindrome (66322622366).

The spelling of 33300322033 in words is "thirty-three billion, three hundred million, three hundred twenty-two thousand, thirty-three".

Divisors: 1 11 97 121 1067 11737 2837209 31209299 275209273 343302289 3027302003 33300322033