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33140993 is a prime number
BaseRepresentation
bin111111001101…
…1000100000001
32022100201220012
41332123010001
531441002433
63142154305
7551456654
oct176330401
968321805
1033140993
1117786356
12b122995
136b34872
14458989b
152d99848
hex1f9b101

33140993 has 2 divisors, whose sum is σ = 33140994. Its totient is φ = 33140992.

The previous prime is 33140977. The next prime is 33141001. The reversal of 33140993 is 39904133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31047184 + 2093809 = 5572^2 + 1447^2 .

It is a cyclic number.

It is not a de Polignac number, because 33140993 - 24 = 33140977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (33140903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16570496 + 16570497.

It is an arithmetic number, because the mean of its divisors is an integer number (16570497).

Almost surely, 233140993 is an apocalyptic number.

It is an amenable number.

33140993 is a deficient number, since it is larger than the sum of its proper divisors (1).

33140993 is an equidigital number, since it uses as much as digits as its factorization.

33140993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 32.

The square root of 33140993 is about 5756.8214320057. The cubic root of 33140993 is about 321.2095919339.

The spelling of 33140993 in words is "thirty-three million, one hundred forty thousand, nine hundred ninety-three".