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133300132033 = 2924229189713
BaseRepresentation
bin111110000100101001…
…1101001100011000001
3110202001220201022201011
41330021103221203001
54140444313211113
6141123124240521
712426205266355
oct1741123514301
9422056638634
10133300132033
11515944a4182
1221a01b40141
13c754801c93
1466478bb465
15370294063d
hex1f094e98c1

133300132033 has 8 divisors (see below), whose sum is σ = 137903106600. Its totient is φ = 128697585408.

The previous prime is 133300132013. The next prime is 133300132051. The reversal of 133300132033 is 330231003331.

It can be written as a sum of positive squares in 4 ways, for example, as 11614464 + 133288517569 = 3408^2 + 365087^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 133300132033 - 25 = 133300132001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133300131995 and 133300132013.

It is not an unprimeable number, because it can be changed into a prime (133300132013) 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, 607785 + ... + 797497.

It is an arithmetic number, because the mean of its divisors is an integer number (17237888325).

Almost surely, 2133300132033 is an apocalyptic number.

It is an amenable number.

133300132033 is a deficient number, since it is larger than the sum of its proper divisors (4602974567).

133300132033 is a wasteful number, since it uses less digits than its factorization.

133300132033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213971.

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 133300132033 its reverse (330231003331), we get a palindrome (463531135364).

The spelling of 133300132033 in words is "one hundred thirty-three billion, three hundred million, one hundred thirty-two thousand, thirty-three".

Divisors: 1 29 24229 189713 702641 5501677 4596556277 133300132033