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1005045193 is a prime number
BaseRepresentation
bin111011111001111…
…100010111001001
32121001011120211001
4323321330113021
54024242421233
6243421335001
733622512625
oct7371742711
92531146731
101005045193
1147635a369
12240707461
131302b56c9
14976a2185
155d37b27d
hex3be7c5c9

1005045193 has 2 divisors, whose sum is σ = 1005045194. Its totient is φ = 1005045192.

The previous prime is 1005045169. The next prime is 1005045277. The reversal of 1005045193 is 3915405001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1004129344 + 915849 = 31688^2 + 957^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1005045193 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005045103) 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, 502522596 + 502522597.

It is an arithmetic number, because the mean of its divisors is an integer number (502522597).

Almost surely, 21005045193 is an apocalyptic number.

It is an amenable number.

1005045193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005045193 is an equidigital number, since it uses as much as digits as its factorization.

1005045193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 1005045193 is about 31702.4477446143. The cubic root of 1005045193 is about 1001.6789106815.

The spelling of 1005045193 in words is "one billion, five million, forty-five thousand, one hundred ninety-three".