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1002231313 is a prime number
BaseRepresentation
bin111011101111001…
…101011000010001
32120211212121220021
4323233031120101
54023032400223
6243241143441
733556553116
oct7357153021
92524777807
101002231313
11474808246
1223b78ab81
1312c83b9a5
149716c90d
155cec265d
hex3bbcd611

1002231313 has 2 divisors, whose sum is σ = 1002231314. Its totient is φ = 1002231312.

The previous prime is 1002231301. The next prime is 1002231331. The reversal of 1002231313 is 3131322001.

Together with next prime (1002231331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 988033489 + 14197824 = 31433^2 + 3768^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1002231313 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002232313) 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, 501115656 + 501115657.

It is an arithmetic number, because the mean of its divisors is an integer number (501115657).

Almost surely, 21002231313 is an apocalyptic number.

It is an amenable number.

1002231313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002231313 is an equidigital number, since it uses as much as digits as its factorization.

1002231313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1002231313 is about 31658.0370996055. The cubic root of 1002231313 is about 1000.7432184894.

Adding to 1002231313 its reverse (3131322001), we get a palindrome (4133553314).

The spelling of 1002231313 in words is "one billion, two million, two hundred thirty-one thousand, three hundred thirteen".