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1023133193 is a prime number
BaseRepresentation
bin111100111110111…
…100011000001001
32122022012112212222
4330332330120021
54043410230233
6245305143425
734232326415
oct7476743011
92568175788
101023133193
11485594125
1224678ab75
13133c79774
1499c4dd45
155ec50898
hex3cfbc609

1023133193 has 2 divisors, whose sum is σ = 1023133194. Its totient is φ = 1023133192.

The previous prime is 1023133183. The next prime is 1023133201. The reversal of 1023133193 is 3913313201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 800437264 + 222695929 = 28292^2 + 14923^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023133193 - 212 = 1023129097 is a prime.

It is not a weakly prime, because it can be changed into another prime (1023133103) 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 as a sum of consecutive naturals, namely, 511566596 + 511566597.

It is an arithmetic number, because the mean of its divisors is an integer number (511566597).

Almost surely, 21023133193 is an apocalyptic number.

It is an amenable number.

1023133193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023133193 is an equidigital number, since it uses as much as digits as its factorization.

1023133193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 26.

The square root of 1023133193 is about 31986.4532732218. The cubic root of 1023133193 is about 1007.6523564045.

Adding to 1023133193 its reverse (3913313201), we get a palindrome (4936446394).

The spelling of 1023133193 in words is "one billion, twenty-three million, one hundred thirty-three thousand, one hundred ninety-three".