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1010320513 is a prime number
BaseRepresentation
bin111100001110000…
…100010010000001
32121102002121012021
4330032010102001
54032120224023
6244130401441
734015403566
oct7416042201
92542077167
101010320513
11479332834
12242430281
131314118b7
149827686d
155da6e35d
hex3c384481

1010320513 has 2 divisors, whose sum is σ = 1010320514. Its totient is φ = 1010320512.

The previous prime is 1010320501. The next prime is 1010320529. The reversal of 1010320513 is 3150230101.

It is an a-pointer prime, because the next prime (1010320529) can be obtained adding 1010320513 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 816359184 + 193961329 = 28572^2 + 13927^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1010320513 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010320583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505160256 + 505160257.

It is an arithmetic number, because the mean of its divisors is an integer number (505160257).

Almost surely, 21010320513 is an apocalyptic number.

It is an amenable number.

1010320513 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010320513 is an equidigital number, since it uses as much as digits as its factorization.

1010320513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 1010320513 is about 31785.5393693422. The cubic root of 1010320513 is about 1003.4284036162.

Adding to 1010320513 its reverse (3150230101), we get a palindrome (4160550614).

The spelling of 1010320513 in words is "one billion, ten million, three hundred twenty thousand, five hundred thirteen".