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101035009 is a prime number
BaseRepresentation
bin1100000010110…
…10110000000001
321001010002222101
412001122300001
5201331110014
614005310401
72334532465
oct601326001
9231102871
10101035009
1152039109
1229a05401
1317c1693a
14d5c04a5
158d0b474
hex605ac01

101035009 has 2 divisors, whose sum is σ = 101035010. Its totient is φ = 101035008.

The previous prime is 101035001. The next prime is 101035031. The reversal of 101035009 is 900530101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92929600 + 8105409 = 9640^2 + 2847^2 .

It is a cyclic number.

It is not a de Polignac number, because 101035009 - 23 = 101035001 is a prime.

It is not a weakly prime, because it can be changed into another prime (101035001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50517504 + 50517505.

It is an arithmetic number, because the mean of its divisors is an integer number (50517505).

Almost surely, 2101035009 is an apocalyptic number.

It is an amenable number.

101035009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101035009 is an equidigital number, since it uses as much as digits as its factorization.

101035009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135, while the sum is 19.

The square root of 101035009 is about 10051.6172330625. The cubic root of 101035009 is about 465.7547522365.

The spelling of 101035009 in words is "one hundred one million, thirty-five thousand, nine".