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1020073513 is a prime number
BaseRepresentation
bin111100110011010…
…001011000101001
32122002110002210111
4330303101120221
54042114323023
6245115414321
734164324154
oct7463213051
92562402714
101020073513
11483894368
122457543a1
13133447bc4
1499694c9b
155e84900d
hex3ccd1629

1020073513 has 2 divisors, whose sum is σ = 1020073514. Its totient is φ = 1020073512.

The previous prime is 1020073511. The next prime is 1020073531. The reversal of 1020073513 is 3153700201.

1020073513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (1020073531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 972628969 + 47444544 = 31187^2 + 6888^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020073513 - 21 = 1020073511 is a prime.

It is a super-2 number, since 2×10200735132 = 2081099943848322338, which contains 22 as substring.

Together with 1020073511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1020073511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510036756 + 510036757.

It is an arithmetic number, because the mean of its divisors is an integer number (510036757).

Almost surely, 21020073513 is an apocalyptic number.

It is an amenable number.

1020073513 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020073513 is an equidigital number, since it uses as much as digits as its factorization.

1020073513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 1020073513 is about 31938.5897152645. The cubic root of 1020073513 is about 1006.6468919384.

Adding to 1020073513 its reverse (3153700201), we get a palindrome (4173773714).

The spelling of 1020073513 in words is "one billion, twenty million, seventy-three thousand, five hundred thirteen".