Does this stream deviate from normality?



The following is a physical constant expressed in binary:

10100000001011111010010010000011000111000000001101111011011100000110010101000011011111101010110001111111010000000100101011010011000111001111011001011100101011101100111000011001101101001111011100100001101110011011111001101111101010010101101000011010100001110010100100110010001000001011000110100101111100011110011011111011000100111111000001001011001001110100111110011110110011101110011010001111100101000101010001000001000101110101101010000000101100010000011001001011110111010000010001110001000110010110000100111111110010110000000010011001111100101001100000101010110001111010011101111000000000011100011010011110111101010011000111000100001111100001101001000100110111001110000000101101011011100011100011011100110001001110111001100011100001110110011110100000111001001100110001000001100111010001001010011110100001100010010100010110101000111000111100000000100010101111001101100100010101011001001000111001101101001000010000011110100101001000000001101001101010011001010101100010011100110110101001111000011111110100101101000111110000100000110001000110110001111111010010000101100001000010101111101000111011111011010110110111100000100101000111010100010010011001100011101100100101010001111100000110000000010011010010010100110101001011001011110100101100101001101111010010100010110101111000000100011110100101011001000001001100111111000010001110001001001101100111001101110000000...

It has been proposed by some of uncertain reputation that this
constant is not normal (does not have equi-distributed digits),
and I thought that this was a good place to ask for contributions
in that regard.

There are certainly a few 'visual' anomolies - runs of 0s seem
to be more common/longer than runs of 1s, but are these statistically
significant? I'm not a stats narg, and don't know a chisquared from
a chianti. (Not a wine narg either, and hate fava beans.)

TIA,
Phil
--
"Home taping is killing big business profits. We left this side blank
so you can help." -- Dead Kennedys, written upon the B-side of tapes of
/In God We Trust, Inc./.
.