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101043029 is a prime number
BaseRepresentation
bin1100000010111…
…00101101010101
321001010111222102
412001130231111
5201331334104
614005411445
72334565043
oct601345525
9231114872
10101043029
115204413a
1229a09b85
1317c1a499
14d5c3393
158d0da1e
hex605cb55

101043029 has 2 divisors, whose sum is σ = 101043030. Its totient is φ = 101043028.

The previous prime is 101043017. The next prime is 101043031. The reversal of 101043029 is 920340101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56220004 + 44823025 = 7498^2 + 6695^2 .

It is a cyclic number.

It is not a de Polignac number, because 101043029 - 212 = 101038933 is a prime.

Together with 101043031, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101043029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101043079) 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, 50521514 + 50521515.

It is an arithmetic number, because the mean of its divisors is an integer number (50521515).

Almost surely, 2101043029 is an apocalyptic number.

It is an amenable number.

101043029 is a deficient number, since it is larger than the sum of its proper divisors (1).

101043029 is an equidigital number, since it uses as much as digits as its factorization.

101043029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 101043029 is about 10052.0161659241. The cubic root of 101043029 is about 465.7670755368.

The spelling of 101043029 in words is "one hundred one million, forty-three thousand, twenty-nine".