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1000133417 is a prime number
BaseRepresentation
bin111011100111001…
…101001100101001
32120200221001010102
4323213031030221
54022013232132
6243124155145
733532664603
oct7347151451
92520831112
101000133417
11473605048
1223ab38ab5
1312c285b2a
1496b84173
155cc0ac62
hex3b9cd329

1000133417 has 2 divisors, whose sum is σ = 1000133418. Its totient is φ = 1000133416.

The previous prime is 1000133413. The next prime is 1000133437. The reversal of 1000133417 is 7143310001.

It is a happy number.

It is an a-pointer prime, because the next prime (1000133437) can be obtained adding 1000133417 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 974438656 + 25694761 = 31216^2 + 5069^2 .

It is an emirp because it is prime and its reverse (7143310001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000133417 - 22 = 1000133413 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000133413) 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, 500066708 + 500066709.

It is an arithmetic number, because the mean of its divisors is an integer number (500066709).

Almost surely, 21000133417 is an apocalyptic number.

It is an amenable number.

1000133417 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000133417 is an equidigital number, since it uses as much as digits as its factorization.

1000133417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 1000133417 is about 31624.8860393204. The cubic root of 1000133417 is about 1000.0444703557.

Adding to 1000133417 its reverse (7143310001), we get a palindrome (8143443418).

The spelling of 1000133417 in words is "one billion, one hundred thirty-three thousand, four hundred seventeen".