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1000133341 = 1729735677
BaseRepresentation
bin111011100111001…
…101001011011101
32120200221001000121
4323213031023131
54022013231331
6243124154541
733532664434
oct7347151335
92520831017
101000133341
11473604a89
1223ab38a51
1312c285a9c
1496b8411b
155cc0ac11
hex3b9cd2dd

1000133341 has 12 divisors (see below), whose sum is σ = 1073408308. Its totient is φ = 931571712.

The previous prime is 1000133333. The next prime is 1000133383. The reversal of 1000133341 is 1433310001.

It can be written as a sum of positive squares in 6 ways, for example, as 132595225 + 867538116 = 11515^2 + 29454^2 .

It is not a de Polignac number, because 1000133341 - 23 = 1000133333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000133041) 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 in 11 ways as a sum of consecutive naturals, for example, 10195 + ... + 45871.

Almost surely, 21000133341 is an apocalyptic number.

It is an amenable number.

1000133341 is a deficient number, since it is larger than the sum of its proper divisors (73274967).

1000133341 is an equidigital number, since it uses as much as digits as its factorization.

1000133341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35808 (or 35791 counting only the distinct ones).

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

The square root of 1000133341 is about 31624.8848377350. The cubic root of 1000133341 is about 1000.0444450246.

Adding to 1000133341 its reverse (1433310001), we get a palindrome (2433443342).

The spelling of 1000133341 in words is "one billion, one hundred thirty-three thousand, three hundred forty-one".

Divisors: 1 17 97 289 1649 28033 35677 606509 3460669 10310653 58831373 1000133341