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33305412001 is a prime number
BaseRepresentation
bin11111000001001010…
…000100000110100001
310011222010000020012211
4133001022010012201
51021202141141001
623144510322121
72256224221351
oct370112040641
9104863006184
1033305412001
1113141044a94
126555ab9341
1331aa1208a4
14187d432b61
15ceddea351
hex7c12841a1

33305412001 has 2 divisors, whose sum is σ = 33305412002. Its totient is φ = 33305412000.

The previous prime is 33305411983. The next prime is 33305412013. The reversal of 33305412001 is 10021450333.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31618174225 + 1687237776 = 177815^2 + 41076^2 .

It is a cyclic number.

It is not a de Polignac number, because 33305412001 - 27 = 33305411873 is a prime.

It is a super-2 number, since 2×333054120012 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33305412071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16652706000 + 16652706001.

It is an arithmetic number, because the mean of its divisors is an integer number (16652706001).

Almost surely, 233305412001 is an apocalyptic number.

It is an amenable number.

33305412001 is a deficient number, since it is larger than the sum of its proper divisors (1).

33305412001 is an equidigital number, since it uses as much as digits as its factorization.

33305412001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 33305412001 its reverse (10021450333), we get a palindrome (43326862334).

The spelling of 33305412001 in words is "thirty-three billion, three hundred five million, four hundred twelve thousand, one".