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1010100011309 is a prime number
BaseRepresentation
bin11101011001011101010…
…01110000000100101101
310120120020121101011022222
432230232221300010231
5113022141100330214
62052011124445125
7132656135301104
oct16545651600455
93516217334288
101010100011309
1135a421139984
121439205497a5
13743379019ac
1436c639a103b
151b41d2cc38e
hexeb2ea7012d

1010100011309 has 2 divisors, whose sum is σ = 1010100011310. Its totient is φ = 1010100011308.

The previous prime is 1010100011299. The next prime is 1010100011357. The reversal of 1010100011309 is 9031100010101.

1010100011309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1006917923209 + 3182088100 = 1003453^2 + 56410^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010100011309 - 24 = 1010100011293 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010100011369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050005654 + 505050005655.

It is an arithmetic number, because the mean of its divisors is an integer number (505050005655).

Almost surely, 21010100011309 is an apocalyptic number.

It is an amenable number.

1010100011309 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010100011309 is an equidigital number, since it uses as much as digits as its factorization.

1010100011309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 17.

The spelling of 1010100011309 in words is "one trillion, ten billion, one hundred million, eleven thousand, three hundred nine".