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1000133297 is a prime number
BaseRepresentation
bin111011100111001…
…101001010110001
32120200221000221222
4323213031022301
54022013231142
6243124154425
733532664342
oct7347151261
92520830858
101000133297
11473604a49
1223ab38a15
1312c285a67
1496b840c9
155cc0abd2
hex3b9cd2b1

1000133297 has 2 divisors, whose sum is σ = 1000133298. Its totient is φ = 1000133296.

The previous prime is 1000133293. The next prime is 1000133333. The reversal of 1000133297 is 7923310001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 990423841 + 9709456 = 31471^2 + 3116^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000133297 - 22 = 1000133293 is a prime.

It is a super-2 number, since 2×10001332972 = 2000533223536180418, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1000133293) 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, 500066648 + 500066649.

It is an arithmetic number, because the mean of its divisors is an integer number (500066649).

Almost surely, 21000133297 is an apocalyptic number.

It is an amenable number.

1000133297 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000133297 is an equidigital number, since it uses as much as digits as its factorization.

1000133297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 1000133297 is about 31624.8841420803. The cubic root of 1000133297 is about 1000.0444303592.

Adding to 1000133297 its reverse (7923310001), we get a palindrome (8923443298).

The spelling of 1000133297 in words is "one billion, one hundred thirty-three thousand, two hundred ninety-seven".