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133332222033 = 3216229912853
BaseRepresentation
bin111110000101100111…
…0000100000001010001
3110202011011002122220200
41330023032010001101
54141031022101113
6141130232125413
712430045121253
oct1741316040121
9422134078820
10133332222033
115160062193a
1221a10836869
13c75b35934a
14664bc71cd3
15370567d873
hex1f0b384051

133332222033 has 12 divisors (see below), whose sum is σ = 192603065460. Its totient is φ = 88882573536.

The previous prime is 133332221993. The next prime is 133332222047. The reversal of 133332222033 is 330222233331.

133332222033 is a `hidden beast` number, since 1 + 333 + 322 + 2 + 2 + 0 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89145239184 + 44186982849 = 298572^2 + 210207^2 .

It is not a de Polignac number, because 133332222033 - 26 = 133332221969 is a prime.

It is a super-3 number, since 3×1333322220333 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133332221988 and 133332222006.

It is not an unprimeable number, because it can be changed into a prime (133332222073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310366 + ... + 602487.

It is an arithmetic number, because the mean of its divisors is an integer number (16050255455).

Almost surely, 2133332222033 is an apocalyptic number.

It is an amenable number.

133332222033 is a deficient number, since it is larger than the sum of its proper divisors (59270843427).

133332222033 is a wasteful number, since it uses less digits than its factorization.

133332222033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929088 (or 929085 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 133332222033 its reverse (330222233331), we get a palindrome (463554455364).

The spelling of 133332222033 in words is "one hundred thirty-three billion, three hundred thirty-two million, two hundred twenty-two thousand, thirty-three".

Divisors: 1 3 9 16229 48687 146061 912853 2738559 8215677 14814691337 44444074011 133332222033