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133033001033 = 1767811154029
BaseRepresentation
bin111101111100101100…
…0101000000001001001
3110201101022001122212102
41323321120220001021
54134422422013113
6141040422523145
712416452564652
oct1737130500111
9421338048772
10133033001033
115146772a759
12219485964b5
13c711371cba
146620222529
1536d9275758
hex1ef9628049

133033001033 has 8 divisors (see below), whose sum is σ = 140879366280. Its totient is φ = 125188957440.

The previous prime is 133033000987. The next prime is 133033001041. The reversal of 133033001033 is 330100330331.

It can be written as a sum of positive squares in 4 ways, for example, as 53547348409 + 79485652624 = 231403^2 + 281932^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 133033001033 - 232 = 128738033737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133033000996 and 133033001014.

It is not an unprimeable number, because it can be changed into a prime (133033004033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 461738 + ... + 692291.

It is an arithmetic number, because the mean of its divisors is an integer number (17609920785).

Almost surely, 2133033001033 is an apocalyptic number.

It is an amenable number.

133033001033 is a deficient number, since it is larger than the sum of its proper divisors (7846365247).

133033001033 is a wasteful number, since it uses less digits than its factorization.

133033001033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160827.

The product of its (nonzero) digits is 729, while the sum is 20.

Adding to 133033001033 its reverse (330100330331), we get a palindrome (463133331364).

The spelling of 133033001033 in words is "one hundred thirty-three billion, thirty-three million, one thousand, thirty-three".

Divisors: 1 17 6781 115277 1154029 19618493 7825470649 133033001033