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1033020013 is a prime number
BaseRepresentation
bin111101100100101…
…010001001101101
32122222210212001111
4331210222021231
54103423120023
6250301112021
734412345104
oct7544521155
92588725044
101033020013
11490127253
12249b58611
1313602b95c
149b2a503b
1560a5500d
hex3d92a26d

1033020013 has 2 divisors, whose sum is σ = 1033020014. Its totient is φ = 1033020012.

The previous prime is 1033019989. The next prime is 1033020029. The reversal of 1033020013 is 3100203301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 958335849 + 74684164 = 30957^2 + 8642^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1033020013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1033019975 and 1033020002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1033020073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516510006 + 516510007.

It is an arithmetic number, because the mean of its divisors is an integer number (516510007).

Almost surely, 21033020013 is an apocalyptic number.

It is an amenable number.

1033020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033020013 is an equidigital number, since it uses as much as digits as its factorization.

1033020013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1033020013 is about 32140.6286964023. The cubic root of 1033020013 is about 1010.8876987984.

Adding to 1033020013 its reverse (3100203301), we get a palindrome (4133223314).

The spelling of 1033020013 in words is "one billion, thirty-three million, twenty thousand, thirteen".