Search results for nucleon decays p→e+X, p→μ+X, n→νγ (where X is an invisible, massless particle) as well as dinucleon decays np→e+ν, np→μ+ν, and np→τ+ν in the Super-Kamiokande experiment are presented. Using single-ring data from an exposure of 273.4kton·yr, a search for these decays yields a result consistent with no signal. Accordingly, lower limits on the partial lifetimes of τp→e+X>7.9×1032yr, τp→μ+X>4.1×1032yr, τn→νγ>5.5×1032yr, τnp→e+ν>2.6×1032yr, τnp→μ+ν>2.2×1032yr, and τnp→τ+ν>2.9×1031yr at a 90% confidence level are obtained. Some of these searches are novel.
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