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201332336993 is a prime number
BaseRepresentation
bin1011101110000001010…
…1111010100101100001
3201020200012022102020222
42323200111322211201
511244312034240433
6232254002412425
720355126425264
oct2734025724541
9636605272228
10201332336993
1178425945757
1233029961115
1315ca7369a68
149a5d01ccdb
155385400b98
hex2ee057a961

201332336993 has 2 divisors, whose sum is σ = 201332336994. Its totient is φ = 201332336992.

The previous prime is 201332336977. The next prime is 201332337007. The reversal of 201332336993 is 399633233102.

201332336993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201231193744 + 101143249 = 448588^2 + 10057^2 .

It is a cyclic number.

It is not a de Polignac number, because 201332336993 - 24 = 201332336977 is a prime.

It is not a weakly prime, because it can be changed into another prime (201332330993) 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, 100666168496 + 100666168497.

It is an arithmetic number, because the mean of its divisors is an integer number (100666168497).

Almost surely, 2201332336993 is an apocalyptic number.

It is an amenable number.

201332336993 is a deficient number, since it is larger than the sum of its proper divisors (1).

201332336993 is an equidigital number, since it uses as much as digits as its factorization.

201332336993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 472392, while the sum is 44.

The spelling of 201332336993 in words is "two hundred one billion, three hundred thirty-two million, three hundred thirty-six thousand, nine hundred ninety-three".