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1005014029 is a prime number
BaseRepresentation
bin111011111001110…
…100110000001101
32121001010000001211
4323321310300031
54024240422104
6243420534421
733622323025
oct7371646015
92531100054
101005014029
11476338a08
122406b1411
131302a4476
1497694a85
155d371e04
hex3be74c0d

1005014029 has 2 divisors, whose sum is σ = 1005014030. Its totient is φ = 1005014028.

The previous prime is 1005014011. The next prime is 1005014039. The reversal of 1005014029 is 9204105001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 992376004 + 12638025 = 31502^2 + 3555^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005014029 - 27 = 1005013901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005014009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502507014 + 502507015.

It is an arithmetic number, because the mean of its divisors is an integer number (502507015).

Almost surely, 21005014029 is an apocalyptic number.

It is an amenable number.

1005014029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005014029 is an equidigital number, since it uses as much as digits as its factorization.

1005014029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 1005014029 is about 31701.9562330150. The cubic root of 1005014029 is about 1001.6685573678.

The spelling of 1005014029 in words is "one billion, five million, fourteen thousand, twenty-nine".