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1006200313 is a prime number
BaseRepresentation
bin111011111110010…
…110010111111001
32121010100021100021
4323332112113321
54030041402223
6243502210441
733635363416
oct7376262771
92533307307
101006200313
11476a79208
12240b83a21
131305cb401
14978c310d
155d50865d
hex3bf965f9

1006200313 has 2 divisors, whose sum is σ = 1006200314. Its totient is φ = 1006200312.

The previous prime is 1006200203. The next prime is 1006200329. The reversal of 1006200313 is 3130026001.

It is an a-pointer prime, because the next prime (1006200329) can be obtained adding 1006200313 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 737502649 + 268697664 = 27157^2 + 16392^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006200313 - 29 = 1006199801 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006200353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503100156 + 503100157.

It is an arithmetic number, because the mean of its divisors is an integer number (503100157).

Almost surely, 21006200313 is an apocalyptic number.

It is an amenable number.

1006200313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006200313 is an equidigital number, since it uses as much as digits as its factorization.

1006200313 is an odious number, because the sum of its binary digits is odd.

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

The square root of 1006200313 is about 31720.6606646205. The cubic root of 1006200313 is about 1002.0625141109.

Adding to 1006200313 its reverse (3130026001), we get a palindrome (4136226314).

The spelling of 1006200313 in words is "one billion, six million, two hundred thousand, three hundred thirteen".