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101327309 is a prime number
BaseRepresentation
bin1100000101000…
…10000111001101
321001122221221022
412002202013031
5201414433214
614015443525
72340160616
oct602420715
9231587838
10101327309
1152218786
1229b265a5
1317cb99b5
14d658c0d
158d67d8e
hex60a21cd

101327309 has 2 divisors, whose sum is σ = 101327310. Its totient is φ = 101327308.

The previous prime is 101327299. The next prime is 101327333. The reversal of 101327309 is 903723101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96138025 + 5189284 = 9805^2 + 2278^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101327309 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 (101327389) 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, 50663654 + 50663655.

It is an arithmetic number, because the mean of its divisors is an integer number (50663655).

Almost surely, 2101327309 is an apocalyptic number.

It is an amenable number.

101327309 is a deficient number, since it is larger than the sum of its proper divisors (1).

101327309 is an equidigital number, since it uses as much as digits as its factorization.

101327309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 101327309 is about 10066.1466808308. The cubic root of 101327309 is about 466.2034714115.

The spelling of 101327309 in words is "one hundred one million, three hundred twenty-seven thousand, three hundred nine".