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1011301309 is a prime number
BaseRepresentation
bin111100010001110…
…011101110111101
32121110221102121001
4330101303232331
54032343120214
6244203410301
734026630214
oct7421635675
92543842531
101011301309
11479942707
12242823991
13131696155
149845007b
155dbb4c74
hex3c473bbd

1011301309 has 2 divisors, whose sum is σ = 1011301310. Its totient is φ = 1011301308.

The previous prime is 1011301307. The next prime is 1011301331. The reversal of 1011301309 is 9031031101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1009332900 + 1968409 = 31770^2 + 1403^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011301309 - 21 = 1011301307 is a prime.

It is a super-2 number, since 2×10113013092 = 2045460675170226962, which contains 22 as substring.

Together with 1011301307, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011301307) 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 as a sum of consecutive naturals, namely, 505650654 + 505650655.

It is an arithmetic number, because the mean of its divisors is an integer number (505650655).

Almost surely, 21011301309 is an apocalyptic number.

It is an amenable number.

1011301309 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011301309 is an equidigital number, since it uses as much as digits as its factorization.

1011301309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 19.

The square root of 1011301309 is about 31800.9639633770. The cubic root of 1011301309 is about 1003.7530003679.

The spelling of 1011301309 in words is "one billion, eleven million, three hundred one thousand, three hundred nine".