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33206532133 is a prime number
BaseRepresentation
bin11110111011010000…
…110111100000100101
310011201012221121112111
4132323100313200211
51021001333012013
623131015121021
72253613603015
oct367320674045
9104635847474
1033206532133
11130a0249095
126528973171
1331927acba8
141870253c45
15ce53b773d
hex7bb437825

33206532133 has 2 divisors, whose sum is σ = 33206532134. Its totient is φ = 33206532132.

The previous prime is 33206532131. The next prime is 33206532173. The reversal of 33206532133 is 33123560233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28965657249 + 4240874884 = 170193^2 + 65122^2 .

It is a cyclic number.

It is not a de Polignac number, because 33206532133 - 21 = 33206532131 is a prime.

It is a super-2 number, since 2×332065321332 (a number of 22 digits) contains 22 as substring.

Together with 33206532131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 33206532095 and 33206532104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33206532131) 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, 16603266066 + 16603266067.

It is an arithmetic number, because the mean of its divisors is an integer number (16603266067).

Almost surely, 233206532133 is an apocalyptic number.

It is an amenable number.

33206532133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33206532133 is an equidigital number, since it uses as much as digits as its factorization.

33206532133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 31.

The spelling of 33206532133 in words is "thirty-three billion, two hundred six million, five hundred thirty-two thousand, one hundred thirty-three".