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101047409 is a prime number
BaseRepresentation
bin1100000010111…
…01110001110001
321001010201222122
412001131301301
5201332004114
614005444025
72334613601
oct601356161
9231121878
10101047409
1152047461
1229a10615
1317c1c488
14d5c4c01
158d0ee8e
hex605dc71

101047409 has 2 divisors, whose sum is σ = 101047410. Its totient is φ = 101047408.

The previous prime is 101047393. The next prime is 101047447. The reversal of 101047409 is 904740101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97456384 + 3591025 = 9872^2 + 1895^2 .

It is a cyclic number.

It is not a de Polignac number, because 101047409 - 24 = 101047393 is a prime.

It is a super-2 number, since 2×1010474092 = 20421157731226562, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101047459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50523704 + 50523705.

It is an arithmetic number, because the mean of its divisors is an integer number (50523705).

Almost surely, 2101047409 is an apocalyptic number.

It is an amenable number.

101047409 is a deficient number, since it is larger than the sum of its proper divisors (1).

101047409 is an equidigital number, since it uses as much as digits as its factorization.

101047409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 101047409 is about 10052.2340303039. The cubic root of 101047409 is about 465.7738054430.

The spelling of 101047409 in words is "one hundred one million, forty-seven thousand, four hundred nine".