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1006106000027 is a prime number
BaseRepresentation
bin11101010010000001001…
…01110011101010011011
310120011221020221100212012
432221000211303222123
5112441001114000102
62050110531140135
7132455146616252
oct16510045635233
93504836840765
101006106000027
11358761676107
12142ba6a4464b
1373b4c2c90cb
14369a5369799
151b28783b752
hexea40973a9b

1006106000027 has 2 divisors, whose sum is σ = 1006106000028. Its totient is φ = 1006106000026.

The previous prime is 1006105999981. The next prime is 1006106000047. The reversal of 1006106000027 is 7200006016001.

1006106000027 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1006106000027 - 224 = 1006089222811 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006105999966 and 1006106000011.

It is not a weakly prime, because it can be changed into another prime (1006106000047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503053000013 + 503053000014.

It is an arithmetic number, because the mean of its divisors is an integer number (503053000014).

Almost surely, 21006106000027 is an apocalyptic number.

1006106000027 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006106000027 is an equidigital number, since it uses as much as digits as its factorization.

1006106000027 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 23.

The spelling of 1006106000027 in words is "one trillion, six billion, one hundred six million, twenty-seven", and thus it is an aban number.