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1033314021 = 32412800309
BaseRepresentation
bin111101100101110…
…001111011100101
32200000100210100200
4331211301323211
54104012022041
6250311301113
734415011215
oct7545617345
92600323320
101033314021
11490308133
1224a07a799
1313610271c
149b340245
1560ab21b6
hex3d971ee5

1033314021 has 12 divisors (see below), whose sum is σ = 1528969260. Its totient is φ = 672073920.

The previous prime is 1033314019. The next prime is 1033314047. The reversal of 1033314021 is 1204133301.

It can be written as a sum of positive squares in 2 ways, for example, as 48233025 + 985080996 = 6945^2 + 31386^2 .

It is not a de Polignac number, because 1033314021 - 21 = 1033314019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1033313985 and 1033314003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033314001) 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, 1399786 + ... + 1400523.

It is an arithmetic number, because the mean of its divisors is an integer number (127414105).

Almost surely, 21033314021 is an apocalyptic number.

It is an amenable number.

1033314021 is a deficient number, since it is larger than the sum of its proper divisors (495655239).

1033314021 is a wasteful number, since it uses less digits than its factorization.

1033314021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800356 (or 2800353 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1033314021 is about 32145.2021458880. The cubic root of 1033314021 is about 1010.9835926743.

Adding to 1033314021 its reverse (1204133301), we get a palindrome (2237447322).

The spelling of 1033314021 in words is "one billion, thirty-three million, three hundred fourteen thousand, twenty-one".

Divisors: 1 3 9 41 123 369 2800309 8400927 25202781 114812669 344438007 1033314021